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Finding the Fourth Proportional to 1,227.60, 1,689.84 and 1,225.44

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Solution

The fourth proportional to 1,227.60, 1,689.84 and 1,225.44 is: 1,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.60 : 1,689.84 = 1,225.44 : x
  2. Step 2: Convert to fraction form
    1,227.60/1,689.84 = 1,225.44/x
  3. Step 3: Cross multiply
    1,227.60x = 1,689.84 × 1,225.44
  4. Step 4: Simplify right side
    1,227.60x = 2,070,797.53
  5. Step 5: Solve for x
    x = 2,070,797.53/1,227.60
  6. Step 6: Final answer
    x = 1,686.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.