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Finding the Fourth Proportional to 871.60, 1,306.62 and 323.44

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Solution

The fourth proportional to 871.60, 1,306.62 and 323.44 is: 484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.60 : 1,306.62 = 323.44 : x
  2. Step 2: Convert to fraction form
    871.60/1,306.62 = 323.44/x
  3. Step 3: Cross multiply
    871.60x = 1,306.62 × 323.44
  4. Step 4: Simplify right side
    871.60x = 422,613.17
  5. Step 5: Solve for x
    x = 422,613.17/871.60
  6. Step 6: Final answer
    x = 484.87

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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.