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Finding the Fourth Proportional to 891.71, 1,229.92 and 655.73

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Solution

The fourth proportional to 891.71, 1,229.92 and 655.73 is: 904.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.71 : 1,229.92 = 655.73 : x
  2. Step 2: Convert to fraction form
    891.71/1,229.92 = 655.73/x
  3. Step 3: Cross multiply
    891.71x = 1,229.92 × 655.73
  4. Step 4: Simplify right side
    891.71x = 806,487.65
  5. Step 5: Solve for x
    x = 806,487.65/891.71
  6. Step 6: Final answer
    x = 904.43

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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.