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Finding the Fourth Proportional to 871.98, 1,306.89 and 461.22

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Solution

The fourth proportional to 871.98, 1,306.89 and 461.22 is: 691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.98 : 1,306.89 = 461.22 : x
  2. Step 2: Convert to fraction form
    871.98/1,306.89 = 461.22/x
  3. Step 3: Cross multiply
    871.98x = 1,306.89 × 461.22
  4. Step 4: Simplify right side
    871.98x = 602,763.81
  5. Step 5: Solve for x
    x = 602,763.81/871.98
  6. Step 6: Final answer
    x = 691.26

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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.