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Finding the Fourth Proportional to 861.18, 1,291.68 and 509.82

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Solution

The fourth proportional to 861.18, 1,291.68 and 509.82 is: 764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.18 : 1,291.68 = 509.82 : x
  2. Step 2: Convert to fraction form
    861.18/1,291.68 = 509.82/x
  3. Step 3: Cross multiply
    861.18x = 1,291.68 × 509.82
  4. Step 4: Simplify right side
    861.18x = 658,524.30
  5. Step 5: Solve for x
    x = 658,524.30/861.18
  6. Step 6: Final answer
    x = 764.68

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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.