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Finding the Fourth Proportional to 1,087.20, 1,627.68 and 701.28

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Solution

The fourth proportional to 1,087.20, 1,627.68 and 701.28 is: 1,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.20 : 1,627.68 = 701.28 : x
  2. Step 2: Convert to fraction form
    1,087.20/1,627.68 = 701.28/x
  3. Step 3: Cross multiply
    1,087.20x = 1,627.68 × 701.28
  4. Step 4: Simplify right side
    1,087.20x = 1,141,459.43
  5. Step 5: Solve for x
    x = 1,141,459.43/1,087.20
  6. Step 6: Final answer
    x = 1,049.91

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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.