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Finding the Fourth Proportional to 724.58, 1,086.61 and 262.24

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Solution

The fourth proportional to 724.58, 1,086.61 and 262.24 is: 393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.58 : 1,086.61 = 262.24 : x
  2. Step 2: Convert to fraction form
    724.58/1,086.61 = 262.24/x
  3. Step 3: Cross multiply
    724.58x = 1,086.61 × 262.24
  4. Step 4: Simplify right side
    724.58x = 284,952.61
  5. Step 5: Solve for x
    x = 284,952.61/724.58
  6. Step 6: Final answer
    x = 393.27

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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.