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Finding the Fourth Proportional to 871.86, 1,306.08 and 505.88

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Solution

The fourth proportional to 871.86, 1,306.08 and 505.88 is: 757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.86 : 1,306.08 = 505.88 : x
  2. Step 2: Convert to fraction form
    871.86/1,306.08 = 505.88/x
  3. Step 3: Cross multiply
    871.86x = 1,306.08 × 505.88
  4. Step 4: Simplify right side
    871.86x = 660,719.75
  5. Step 5: Solve for x
    x = 660,719.75/871.86
  6. Step 6: Final answer
    x = 757.83

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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.