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Finding the Fourth Proportional to 723.61, 997.55 and 516.25

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Solution

The fourth proportional to 723.61, 997.55 and 516.25 is: 711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.61 : 997.55 = 516.25 : x
  2. Step 2: Convert to fraction form
    723.61/997.55 = 516.25/x
  3. Step 3: Cross multiply
    723.61x = 997.55 × 516.25
  4. Step 4: Simplify right side
    723.61x = 514,982.61
  5. Step 5: Solve for x
    x = 514,982.61/723.61
  6. Step 6: Final answer
    x = 711.69

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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.