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Finding the Fourth Proportional to 1,086.44, 1,627.69 and 914.18

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Solution

The fourth proportional to 1,086.44, 1,627.69 and 914.18 is: 1,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.44 : 1,627.69 = 914.18 : x
  2. Step 2: Convert to fraction form
    1,086.44/1,627.69 = 914.18/x
  3. Step 3: Cross multiply
    1,086.44x = 1,627.69 × 914.18
  4. Step 4: Simplify right side
    1,086.44x = 1,488,001.64
  5. Step 5: Solve for x
    x = 1,488,001.64/1,086.44
  6. Step 6: Final answer
    x = 1,369.61

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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.