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Finding the Fourth Proportional to 724.89, 1,000.32 and 393.30

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Solution

The fourth proportional to 724.89, 1,000.32 and 393.30 is: 542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.89 : 1,000.32 = 393.30 : x
  2. Step 2: Convert to fraction form
    724.89/1,000.32 = 393.30/x
  3. Step 3: Cross multiply
    724.89x = 1,000.32 × 393.30
  4. Step 4: Simplify right side
    724.89x = 393,425.86
  5. Step 5: Solve for x
    x = 393,425.86/724.89
  6. Step 6: Final answer
    x = 542.74

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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.