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Finding the Fourth Proportional to 871.12, 1,306.62 and 323.14

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Solution

The fourth proportional to 871.12, 1,306.62 and 323.14 is: 484.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.12 : 1,306.62 = 323.14 : x
  2. Step 2: Convert to fraction form
    871.12/1,306.62 = 323.14/x
  3. Step 3: Cross multiply
    871.12x = 1,306.62 × 323.14
  4. Step 4: Simplify right side
    871.12x = 422,221.19
  5. Step 5: Solve for x
    x = 422,221.19/871.12
  6. Step 6: Final answer
    x = 484.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.