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Finding the Fourth Proportional to 1,094.78, 1,517.04 and 1,081.42

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Solution

The fourth proportional to 1,094.78, 1,517.04 and 1,081.42 is: 1,498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.78 : 1,517.04 = 1,081.42 : x
  2. Step 2: Convert to fraction form
    1,094.78/1,517.04 = 1,081.42/x
  3. Step 3: Cross multiply
    1,094.78x = 1,517.04 × 1,081.42
  4. Step 4: Simplify right side
    1,094.78x = 1,640,557.40
  5. Step 5: Solve for x
    x = 1,640,557.40/1,094.78
  6. Step 6: Final answer
    x = 1,498.53

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.