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Finding the Fourth Proportional to 891.27, 1,229.37 and 642.18

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Solution

The fourth proportional to 891.27, 1,229.37 and 642.18 is: 885.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.27 : 1,229.37 = 642.18 : x
  2. Step 2: Convert to fraction form
    891.27/1,229.37 = 642.18/x
  3. Step 3: Cross multiply
    891.27x = 1,229.37 × 642.18
  4. Step 4: Simplify right side
    891.27x = 789,476.83
  5. Step 5: Solve for x
    x = 789,476.83/891.27
  6. Step 6: Final answer
    x = 885.79

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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.