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Finding the Fourth Proportional to 724.79, 1,000.20 and 393.21

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Solution

The fourth proportional to 724.79, 1,000.20 and 393.21 is: 542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.79 : 1,000.20 = 393.21 : x
  2. Step 2: Convert to fraction form
    724.79/1,000.20 = 393.21/x
  3. Step 3: Cross multiply
    724.79x = 1,000.20 × 393.21
  4. Step 4: Simplify right side
    724.79x = 393,286.68
  5. Step 5: Solve for x
    x = 393,286.68/724.79
  6. Step 6: Final answer
    x = 542.63

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