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Finding the Fourth Proportional to 874.26, 1,309.17 and 781.38

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Solution

The fourth proportional to 874.26, 1,309.17 and 781.38 is: 1,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.26 : 1,309.17 = 781.38 : x
  2. Step 2: Convert to fraction form
    874.26/1,309.17 = 781.38/x
  3. Step 3: Cross multiply
    874.26x = 1,309.17 × 781.38
  4. Step 4: Simplify right side
    874.26x = 1,022,959.25
  5. Step 5: Solve for x
    x = 1,022,959.25/874.26
  6. Step 6: Final answer
    x = 1,170.09

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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.