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Finding the Fourth Proportional to 871.80, 1,306.60 and 461.12

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Solution

The fourth proportional to 871.80, 1,306.60 and 461.12 is: 691.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.80 : 1,306.60 = 461.12 : x
  2. Step 2: Convert to fraction form
    871.80/1,306.60 = 461.12/x
  3. Step 3: Cross multiply
    871.80x = 1,306.60 × 461.12
  4. Step 4: Simplify right side
    871.80x = 602,499.39
  5. Step 5: Solve for x
    x = 602,499.39/871.80
  6. Step 6: Final answer
    x = 691.10

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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.