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Finding the Fourth Proportional to 902.43, 1,353.64 and 738.41

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Solution

The fourth proportional to 902.43, 1,353.64 and 738.41 is: 1,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.43 : 1,353.64 = 738.41 : x
  2. Step 2: Convert to fraction form
    902.43/1,353.64 = 738.41/x
  3. Step 3: Cross multiply
    902.43x = 1,353.64 × 738.41
  4. Step 4: Simplify right side
    902.43x = 999,534.54
  5. Step 5: Solve for x
    x = 999,534.54/902.43
  6. Step 6: Final answer
    x = 1,107.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.