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Finding the Fourth Proportional to 1,332.64, 1,839.10 and 743.20

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Solution

The fourth proportional to 1,332.64, 1,839.10 and 743.20 is: 1,025.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.64 : 1,839.10 = 743.20 : x
  2. Step 2: Convert to fraction form
    1,332.64/1,839.10 = 743.20/x
  3. Step 3: Cross multiply
    1,332.64x = 1,839.10 × 743.20
  4. Step 4: Simplify right side
    1,332.64x = 1,366,819.12
  5. Step 5: Solve for x
    x = 1,366,819.12/1,332.64
  6. Step 6: Final answer
    x = 1,025.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.