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Finding the Fourth Proportional to 724.24, 998.40 and 516.88

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Solution

The fourth proportional to 724.24, 998.40 and 516.88 is: 712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.24 : 998.40 = 516.88 : x
  2. Step 2: Convert to fraction form
    724.24/998.40 = 516.88/x
  3. Step 3: Cross multiply
    724.24x = 998.40 × 516.88
  4. Step 4: Simplify right side
    724.24x = 516,052.99
  5. Step 5: Solve for x
    x = 516,052.99/724.24
  6. Step 6: Final answer
    x = 712.54

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Why These Related Problems?

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