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Finding the Fourth Proportional to 724.24, 1,081.96 and 462.16

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Solution

The fourth proportional to 724.24, 1,081.96 and 462.16 is: 690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.24 : 1,081.96 = 462.16 : x
  2. Step 2: Convert to fraction form
    724.24/1,081.96 = 462.16/x
  3. Step 3: Cross multiply
    724.24x = 1,081.96 × 462.16
  4. Step 4: Simplify right side
    724.24x = 500,034.77
  5. Step 5: Solve for x
    x = 500,034.77/724.24
  6. Step 6: Final answer
    x = 690.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.