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Finding the Fourth Proportional to 1,179.22, 1,626.60 and 736.96

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Solution

The fourth proportional to 1,179.22, 1,626.60 and 736.96 is: 1,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.22 : 1,626.60 = 736.96 : x
  2. Step 2: Convert to fraction form
    1,179.22/1,626.60 = 736.96/x
  3. Step 3: Cross multiply
    1,179.22x = 1,626.60 × 736.96
  4. Step 4: Simplify right side
    1,179.22x = 1,198,739.14
  5. Step 5: Solve for x
    x = 1,198,739.14/1,179.22
  6. Step 6: Final answer
    x = 1,016.55

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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.