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Finding the Fourth Proportional to 891.57, 1,229.67 and 592.82

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Solution

The fourth proportional to 891.57, 1,229.67 and 592.82 is: 817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.57 : 1,229.67 = 592.82 : x
  2. Step 2: Convert to fraction form
    891.57/1,229.67 = 592.82/x
  3. Step 3: Cross multiply
    891.57x = 1,229.67 × 592.82
  4. Step 4: Simplify right side
    891.57x = 728,972.97
  5. Step 5: Solve for x
    x = 728,972.97/891.57
  6. Step 6: Final answer
    x = 817.63

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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.