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Finding the Fourth Proportional to 1,081.93, 1,493.56 and 689.49

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Solution

The fourth proportional to 1,081.93, 1,493.56 and 689.49 is: 951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.93 : 1,493.56 = 689.49 : x
  2. Step 2: Convert to fraction form
    1,081.93/1,493.56 = 689.49/x
  3. Step 3: Cross multiply
    1,081.93x = 1,493.56 × 689.49
  4. Step 4: Simplify right side
    1,081.93x = 1,029,787.22
  5. Step 5: Solve for x
    x = 1,029,787.22/1,081.93
  6. Step 6: Final answer
    x = 951.81

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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.