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Finding the Fourth Proportional to 747.52, 1,031.56 and 432.59

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Solution

The fourth proportional to 747.52, 1,031.56 and 432.59 is: 596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.52 : 1,031.56 = 432.59 : x
  2. Step 2: Convert to fraction form
    747.52/1,031.56 = 432.59/x
  3. Step 3: Cross multiply
    747.52x = 1,031.56 × 432.59
  4. Step 4: Simplify right side
    747.52x = 446,236.30
  5. Step 5: Solve for x
    x = 446,236.30/747.52
  6. Step 6: Final answer
    x = 596.96

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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.