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Finding the Fourth Proportional to 866.35, 1,195.10 and 516.97

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Solution

The fourth proportional to 866.35, 1,195.10 and 516.97 is: 713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.35 : 1,195.10 = 516.97 : x
  2. Step 2: Convert to fraction form
    866.35/1,195.10 = 516.97/x
  3. Step 3: Cross multiply
    866.35x = 1,195.10 × 516.97
  4. Step 4: Simplify right side
    866.35x = 617,828.26
  5. Step 5: Solve for x
    x = 617,828.26/866.35
  6. Step 6: Final answer
    x = 713.14

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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.