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Finding the Fourth Proportional to 871.59, 1,306.44 and 409.08

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Solution

The fourth proportional to 871.59, 1,306.44 and 409.08 is: 613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.59 : 1,306.44 = 409.08 : x
  2. Step 2: Convert to fraction form
    871.59/1,306.44 = 409.08/x
  3. Step 3: Cross multiply
    871.59x = 1,306.44 × 409.08
  4. Step 4: Simplify right side
    871.59x = 534,438.48
  5. Step 5: Solve for x
    x = 534,438.48/871.59
  6. Step 6: Final answer
    x = 613.18

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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.