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Finding the Fourth Proportional to 866.25, 1,195.56 and 516.87

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Solution

The fourth proportional to 866.25, 1,195.56 and 516.87 is: 713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.25 : 1,195.56 = 516.87 : x
  2. Step 2: Convert to fraction form
    866.25/1,195.56 = 516.87/x
  3. Step 3: Cross multiply
    866.25x = 1,195.56 × 516.87
  4. Step 4: Simplify right side
    866.25x = 617,949.10
  5. Step 5: Solve for x
    x = 617,949.10/866.25
  6. Step 6: Final answer
    x = 713.36

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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.