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Finding the Fourth Proportional to 1,086.92, 1,627.56 and 720.60

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Solution

The fourth proportional to 1,086.92, 1,627.56 and 720.60 is: 1,079.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.92 : 1,627.56 = 720.60 : x
  2. Step 2: Convert to fraction form
    1,086.92/1,627.56 = 720.60/x
  3. Step 3: Cross multiply
    1,086.92x = 1,627.56 × 720.60
  4. Step 4: Simplify right side
    1,086.92x = 1,172,819.74
  5. Step 5: Solve for x
    x = 1,172,819.74/1,086.92
  6. Step 6: Final answer
    x = 1,079.03

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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.