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Finding the Fourth Proportional to 871.43, 1,306.67 and 597.59

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Solution

The fourth proportional to 871.43, 1,306.67 and 597.59 is: 896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.43 : 1,306.67 = 597.59 : x
  2. Step 2: Convert to fraction form
    871.43/1,306.67 = 597.59/x
  3. Step 3: Cross multiply
    871.43x = 1,306.67 × 597.59
  4. Step 4: Simplify right side
    871.43x = 780,849.94
  5. Step 5: Solve for x
    x = 780,849.94/871.43
  6. Step 6: Final answer
    x = 896.06

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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.