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Finding the Fourth Proportional to 1,081.09, 1,622.18 and 772.55

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Solution

The fourth proportional to 1,081.09, 1,622.18 and 772.55 is: 1,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.09 : 1,622.18 = 772.55 : x
  2. Step 2: Convert to fraction form
    1,081.09/1,622.18 = 772.55/x
  3. Step 3: Cross multiply
    1,081.09x = 1,622.18 × 772.55
  4. Step 4: Simplify right side
    1,081.09x = 1,253,215.16
  5. Step 5: Solve for x
    x = 1,253,215.16/1,081.09
  6. Step 6: Final answer
    x = 1,159.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.