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Finding the Fourth Proportional to 1,272.11, 1,906.20 and 687.22

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Solution

The fourth proportional to 1,272.11, 1,906.20 and 687.22 is: 1,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.11 : 1,906.20 = 687.22 : x
  2. Step 2: Convert to fraction form
    1,272.11/1,906.20 = 687.22/x
  3. Step 3: Cross multiply
    1,272.11x = 1,906.20 × 687.22
  4. Step 4: Simplify right side
    1,272.11x = 1,309,974.00
  5. Step 5: Solve for x
    x = 1,309,974.00/1,272.11
  6. Step 6: Final answer
    x = 1,029.77

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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.