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Finding the Fourth Proportional to 865.71, 1,296.09 and 645.39

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Solution

The fourth proportional to 865.71, 1,296.09 and 645.39 is: 966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.71 : 1,296.09 = 645.39 : x
  2. Step 2: Convert to fraction form
    865.71/1,296.09 = 645.39/x
  3. Step 3: Cross multiply
    865.71x = 1,296.09 × 645.39
  4. Step 4: Simplify right side
    865.71x = 836,483.53
  5. Step 5: Solve for x
    x = 836,483.53/865.71
  6. Step 6: Final answer
    x = 966.24

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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.