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Finding the Fourth Proportional to 861.84, 1,294.79 and 537.44

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Solution

The fourth proportional to 861.84, 1,294.79 and 537.44 is: 807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.84 : 1,294.79 = 537.44 : x
  2. Step 2: Convert to fraction form
    861.84/1,294.79 = 537.44/x
  3. Step 3: Cross multiply
    861.84x = 1,294.79 × 537.44
  4. Step 4: Simplify right side
    861.84x = 695,862.78
  5. Step 5: Solve for x
    x = 695,862.78/861.84
  6. Step 6: Final answer
    x = 807.42

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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.