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Finding the Fourth Proportional to 871.20, 1,306.53 and 596.61

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Solution

The fourth proportional to 871.20, 1,306.53 and 596.61 is: 894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.20 : 1,306.53 = 596.61 : x
  2. Step 2: Convert to fraction form
    871.20/1,306.53 = 596.61/x
  3. Step 3: Cross multiply
    871.20x = 1,306.53 × 596.61
  4. Step 4: Simplify right side
    871.20x = 779,488.86
  5. Step 5: Solve for x
    x = 779,488.86/871.20
  6. Step 6: Final answer
    x = 894.73

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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.