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Finding the Fourth Proportional to 861.75, 1,292.63 and 539.24

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Solution

The fourth proportional to 861.75, 1,292.63 and 539.24 is: 808.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.75 : 1,292.63 = 539.24 : x
  2. Step 2: Convert to fraction form
    861.75/1,292.63 = 539.24/x
  3. Step 3: Cross multiply
    861.75x = 1,292.63 × 539.24
  4. Step 4: Simplify right side
    861.75x = 697,028.64
  5. Step 5: Solve for x
    x = 697,028.64/861.75
  6. Step 6: Final answer
    x = 808.85

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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.