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Finding the Fourth Proportional to 871.95, 1,306.56 and 481.74

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Solution

The fourth proportional to 871.95, 1,306.56 and 481.74 is: 721.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.95 : 1,306.56 = 481.74 : x
  2. Step 2: Convert to fraction form
    871.95/1,306.56 = 481.74/x
  3. Step 3: Cross multiply
    871.95x = 1,306.56 × 481.74
  4. Step 4: Simplify right side
    871.95x = 629,422.21
  5. Step 5: Solve for x
    x = 629,422.21/871.95
  6. Step 6: Final answer
    x = 721.86

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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.