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Finding the Fourth Proportional to 1,279.92, 1,766.37 and 720.44

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Solution

The fourth proportional to 1,279.92, 1,766.37 and 720.44 is: 994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.92 : 1,766.37 = 720.44 : x
  2. Step 2: Convert to fraction form
    1,279.92/1,766.37 = 720.44/x
  3. Step 3: Cross multiply
    1,279.92x = 1,766.37 × 720.44
  4. Step 4: Simplify right side
    1,279.92x = 1,272,563.60
  5. Step 5: Solve for x
    x = 1,272,563.60/1,279.92
  6. Step 6: Final answer
    x = 994.25

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