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Finding the Fourth Proportional to 724.72, 1,000.12 and 393.16

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Solution

The fourth proportional to 724.72, 1,000.12 and 393.16 is: 542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.72 : 1,000.12 = 393.16 : x
  2. Step 2: Convert to fraction form
    724.72/1,000.12 = 393.16/x
  3. Step 3: Cross multiply
    724.72x = 1,000.12 × 393.16
  4. Step 4: Simplify right side
    724.72x = 393,202.18
  5. Step 5: Solve for x
    x = 393,202.18/724.72
  6. Step 6: Final answer
    x = 542.56

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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.