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Finding the Fourth Proportional to 866.53, 1,195.86 and 517.22

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Solution

The fourth proportional to 866.53, 1,195.86 and 517.22 is: 713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.53 : 1,195.86 = 517.22 : x
  2. Step 2: Convert to fraction form
    866.53/1,195.86 = 517.22/x
  3. Step 3: Cross multiply
    866.53x = 1,195.86 × 517.22
  4. Step 4: Simplify right side
    866.53x = 618,523.15
  5. Step 5: Solve for x
    x = 618,523.15/866.53
  6. Step 6: Final answer
    x = 713.79

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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.