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Finding the Fourth Proportional to 891.33, 1,227.49 and 872.25

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Solution

The fourth proportional to 891.33, 1,227.49 and 872.25 is: 1,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.33 : 1,227.49 = 872.25 : x
  2. Step 2: Convert to fraction form
    891.33/1,227.49 = 872.25/x
  3. Step 3: Cross multiply
    891.33x = 1,227.49 × 872.25
  4. Step 4: Simplify right side
    891.33x = 1,070,678.15
  5. Step 5: Solve for x
    x = 1,070,678.15/891.33
  6. Step 6: Final answer
    x = 1,201.21

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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.