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Finding the Fourth Proportional to 1,279.14, 1,766.07 and 860.12

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Solution

The fourth proportional to 1,279.14, 1,766.07 and 860.12 is: 1,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.14 : 1,766.07 = 860.12 : x
  2. Step 2: Convert to fraction form
    1,279.14/1,766.07 = 860.12/x
  3. Step 3: Cross multiply
    1,279.14x = 1,766.07 × 860.12
  4. Step 4: Simplify right side
    1,279.14x = 1,519,023.30
  5. Step 5: Solve for x
    x = 1,519,023.30/1,279.14
  6. Step 6: Final answer
    x = 1,187.53

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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.