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Finding the Fourth Proportional to 866.02, 1,195.12 and 516.90

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Solution

The fourth proportional to 866.02, 1,195.12 and 516.90 is: 713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.02 : 1,195.12 = 516.90 : x
  2. Step 2: Convert to fraction form
    866.02/1,195.12 = 516.90/x
  3. Step 3: Cross multiply
    866.02x = 1,195.12 × 516.90
  4. Step 4: Simplify right side
    866.02x = 617,757.53
  5. Step 5: Solve for x
    x = 617,757.53/866.02
  6. Step 6: Final answer
    x = 713.33

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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.