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Finding the Fourth Proportional to 1,179.06, 1,626.30 and 736.80

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Solution

The fourth proportional to 1,179.06, 1,626.30 and 736.80 is: 1,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.06 : 1,626.30 = 736.80 : x
  2. Step 2: Convert to fraction form
    1,179.06/1,626.30 = 736.80/x
  3. Step 3: Cross multiply
    1,179.06x = 1,626.30 × 736.80
  4. Step 4: Simplify right side
    1,179.06x = 1,198,257.84
  5. Step 5: Solve for x
    x = 1,198,257.84/1,179.06
  6. Step 6: Final answer
    x = 1,016.28

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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.