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Finding the Fourth Proportional to 861.87, 1,292.94 and 314.22

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Solution

The fourth proportional to 861.87, 1,292.94 and 314.22 is: 471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.87 : 1,292.94 = 314.22 : x
  2. Step 2: Convert to fraction form
    861.87/1,292.94 = 314.22/x
  3. Step 3: Cross multiply
    861.87x = 1,292.94 × 314.22
  4. Step 4: Simplify right side
    861.87x = 406,267.61
  5. Step 5: Solve for x
    x = 406,267.61/861.87
  6. Step 6: Final answer
    x = 471.38

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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.