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Finding the Fourth Proportional to 724.23, 1,000.62 and 614.88

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Solution

The fourth proportional to 724.23, 1,000.62 and 614.88 is: 849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.23 : 1,000.62 = 614.88 : x
  2. Step 2: Convert to fraction form
    724.23/1,000.62 = 614.88/x
  3. Step 3: Cross multiply
    724.23x = 1,000.62 × 614.88
  4. Step 4: Simplify right side
    724.23x = 615,261.23
  5. Step 5: Solve for x
    x = 615,261.23/724.23
  6. Step 6: Final answer
    x = 849.54

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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.