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Finding the Fourth Proportional to 724.43, 1,086.46 and 395.01

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Solution

The fourth proportional to 724.43, 1,086.46 and 395.01 is: 592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.43 : 1,086.46 = 395.01 : x
  2. Step 2: Convert to fraction form
    724.43/1,086.46 = 395.01/x
  3. Step 3: Cross multiply
    724.43x = 1,086.46 × 395.01
  4. Step 4: Simplify right side
    724.43x = 429,163.80
  5. Step 5: Solve for x
    x = 429,163.80/724.43
  6. Step 6: Final answer
    x = 592.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.