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Finding the Fourth Proportional to 1,121.91, 1,550.09 and 887.66

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Solution

The fourth proportional to 1,121.91, 1,550.09 and 887.66 is: 1,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.91 : 1,550.09 = 887.66 : x
  2. Step 2: Convert to fraction form
    1,121.91/1,550.09 = 887.66/x
  3. Step 3: Cross multiply
    1,121.91x = 1,550.09 × 887.66
  4. Step 4: Simplify right side
    1,121.91x = 1,375,952.89
  5. Step 5: Solve for x
    x = 1,375,952.89/1,121.91
  6. Step 6: Final answer
    x = 1,226.44

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Why These Related Problems?

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