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Finding the Fourth Proportional to 861.93, 1,296.54 and 781.74

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Solution

The fourth proportional to 861.93, 1,296.54 and 781.74 is: 1,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.93 : 1,296.54 = 781.74 : x
  2. Step 2: Convert to fraction form
    861.93/1,296.54 = 781.74/x
  3. Step 3: Cross multiply
    861.93x = 1,296.54 × 781.74
  4. Step 4: Simplify right side
    861.93x = 1,013,557.18
  5. Step 5: Solve for x
    x = 1,013,557.18/861.93
  6. Step 6: Final answer
    x = 1,175.92

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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.