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Finding the Fourth Proportional to 724.91, 1,000.35 and 393.32

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Solution

The fourth proportional to 724.91, 1,000.35 and 393.32 is: 542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.91 : 1,000.35 = 393.32 : x
  2. Step 2: Convert to fraction form
    724.91/1,000.35 = 393.32/x
  3. Step 3: Cross multiply
    724.91x = 1,000.35 × 393.32
  4. Step 4: Simplify right side
    724.91x = 393,462.21
  5. Step 5: Solve for x
    x = 393,462.21/724.91
  6. Step 6: Final answer
    x = 542.78

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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.