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Finding the Fourth Proportional to 1,002.60, 1,382.82 and 871.08

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Solution

The fourth proportional to 1,002.60, 1,382.82 and 871.08 is: 1,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.60 : 1,382.82 = 871.08 : x
  2. Step 2: Convert to fraction form
    1,002.60/1,382.82 = 871.08/x
  3. Step 3: Cross multiply
    1,002.60x = 1,382.82 × 871.08
  4. Step 4: Simplify right side
    1,002.60x = 1,204,546.85
  5. Step 5: Solve for x
    x = 1,204,546.85/1,002.60
  6. Step 6: Final answer
    x = 1,201.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.