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Finding the Fourth Proportional to 1,272.60, 1,909.98 and 861.12

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Solution

The fourth proportional to 1,272.60, 1,909.98 and 861.12 is: 1,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.60 : 1,909.98 = 861.12 : x
  2. Step 2: Convert to fraction form
    1,272.60/1,909.98 = 861.12/x
  3. Step 3: Cross multiply
    1,272.60x = 1,909.98 × 861.12
  4. Step 4: Simplify right side
    1,272.60x = 1,644,721.98
  5. Step 5: Solve for x
    x = 1,644,721.98/1,272.60
  6. Step 6: Final answer
    x = 1,292.41

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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.