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Finding the Fourth Proportional to 861.74, 1,292.09 and 584.43

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Solution

The fourth proportional to 861.74, 1,292.09 and 584.43 is: 876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.74 : 1,292.09 = 584.43 : x
  2. Step 2: Convert to fraction form
    861.74/1,292.09 = 584.43/x
  3. Step 3: Cross multiply
    861.74x = 1,292.09 × 584.43
  4. Step 4: Simplify right side
    861.74x = 755,132.67
  5. Step 5: Solve for x
    x = 755,132.67/861.74
  6. Step 6: Final answer
    x = 876.29

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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.