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Finding the Fourth Proportional to 861.65, 1,290.15 and 514.12

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Solution

The fourth proportional to 861.65, 1,290.15 and 514.12 is: 769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.65 : 1,290.15 = 514.12 : x
  2. Step 2: Convert to fraction form
    861.65/1,290.15 = 514.12/x
  3. Step 3: Cross multiply
    861.65x = 1,290.15 × 514.12
  4. Step 4: Simplify right side
    861.65x = 663,285.47
  5. Step 5: Solve for x
    x = 663,285.47/861.65
  6. Step 6: Final answer
    x = 769.79

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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.