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Finding the Fourth Proportional to 747.14, 1,031.09 and 560.30

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Solution

The fourth proportional to 747.14, 1,031.09 and 560.30 is: 773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.14 : 1,031.09 = 560.30 : x
  2. Step 2: Convert to fraction form
    747.14/1,031.09 = 560.30/x
  3. Step 3: Cross multiply
    747.14x = 1,031.09 × 560.30
  4. Step 4: Simplify right side
    747.14x = 577,719.73
  5. Step 5: Solve for x
    x = 577,719.73/747.14
  6. Step 6: Final answer
    x = 773.24

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Why These Related Problems?

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