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Finding the Fourth Proportional to 1,279.18, 1,764.97 and 860.32

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Solution

The fourth proportional to 1,279.18, 1,764.97 and 860.32 is: 1,187.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.18 : 1,764.97 = 860.32 : x
  2. Step 2: Convert to fraction form
    1,279.18/1,764.97 = 860.32/x
  3. Step 3: Cross multiply
    1,279.18x = 1,764.97 × 860.32
  4. Step 4: Simplify right side
    1,279.18x = 1,518,438.99
  5. Step 5: Solve for x
    x = 1,518,438.99/1,279.18
  6. Step 6: Final answer
    x = 1,187.04

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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.