Find the approximate value of (?) in the following questions.
`? xx 24.99 = (243.02 + 647.023) "of 44.97"`

Options

A. 1674
B. 1602
C. 1646
D. 1628

Answer

To solve the equation \( ? \times 24.99 = (243.02 + 647.023) \text{ of } 44.97 \), we will follow these steps:

### Step 1: Approximate the Values
We will round the numbers to make calculations easier:
- \( 24.99 \approx 25 \)
- \( 243.02 \approx 243 \)
- \( 647.023 \approx 647 \)
- \( 44.97 \approx 45 \)

### Step 2: Rewrite the Equation
Now we can rewrite the equation using the approximated values:
\[ ? \times 25 = (243 + 647) \times 45 \]

### Step 3: Calculate the Sum
Next, we calculate the sum of \( 243 \) and \( 647 \):
\[ 243 + 647 = 890 \]

### Step 4: Substitute Back into the Equation
Now we substitute back into the equation:
\[ ? \times 25 = 890 \times 45 \]

### Step 5: Calculate \( 890 \times 45 \)
Instead of multiplying directly, we can simplify:
\[ 890 \times 45 = \frac{890 \times 45}{25} \]

### Step 6: Simplify the Equation
Now, we can simplify \( \frac{890 \times 45}{25} \):
- First, divide \( 890 \) by \( 5 \):
\[ 890 \div 5 = 178 \]
- Then, divide \( 45 \) by \( 5 \):
\[ 45 \div 5 = 9 \]

### Step 7: Calculate the Final Value
Now we can calculate:
\[ ? = 178 \times 9 \]
Calculating this gives:
\[ 178 \times 9 = 1602 \]

### Final Answer
Thus, the approximate value of \( ? \) is:
\[ \boxed{1602} \]