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Finding the Fourth Proportional to 691.92, 953.69 and 516.96

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Solution

The fourth proportional to 691.92, 953.69 and 516.96 is: 712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.92 : 953.69 = 516.96 : x
  2. Step 2: Convert to fraction form
    691.92/953.69 = 516.96/x
  3. Step 3: Cross multiply
    691.92x = 953.69 × 516.96
  4. Step 4: Simplify right side
    691.92x = 493,017.00
  5. Step 5: Solve for x
    x = 493,017.00/691.92
  6. Step 6: Final answer
    x = 712.53

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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.