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Finding the Fourth Proportional to 871.55, 1,306.37 and 689.15

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Solution

The fourth proportional to 871.55, 1,306.37 and 689.15 is: 1,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.55 : 1,306.37 = 689.15 : x
  2. Step 2: Convert to fraction form
    871.55/1,306.37 = 689.15/x
  3. Step 3: Cross multiply
    871.55x = 1,306.37 × 689.15
  4. Step 4: Simplify right side
    871.55x = 900,281.44
  5. Step 5: Solve for x
    x = 900,281.44/871.55
  6. Step 6: Final answer
    x = 1,032.97

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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.