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Finding the Fourth Proportional to 516.97, 774.51 and 461.61

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Solution

The fourth proportional to 516.97, 774.51 and 461.61 is: 691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.97 : 774.51 = 461.61 : x
  2. Step 2: Convert to fraction form
    516.97/774.51 = 461.61/x
  3. Step 3: Cross multiply
    516.97x = 774.51 × 461.61
  4. Step 4: Simplify right side
    516.97x = 357,522.14
  5. Step 5: Solve for x
    x = 357,522.14/516.97
  6. Step 6: Final answer
    x = 691.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.