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Finding the Fourth Proportional to 861.44, 1,289.52 and 731.43

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Solution

The fourth proportional to 861.44, 1,289.52 and 731.43 is: 1,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.44 : 1,289.52 = 731.43 : x
  2. Step 2: Convert to fraction form
    861.44/1,289.52 = 731.43/x
  3. Step 3: Cross multiply
    861.44x = 1,289.52 × 731.43
  4. Step 4: Simplify right side
    861.44x = 943,193.61
  5. Step 5: Solve for x
    x = 943,193.61/861.44
  6. Step 6: Final answer
    x = 1,094.91

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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.