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Finding the Fourth Proportional to 891.57, 1,229.25 and 559.87

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Solution

The fourth proportional to 891.57, 1,229.25 and 559.87 is: 771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.57 : 1,229.25 = 559.87 : x
  2. Step 2: Convert to fraction form
    891.57/1,229.25 = 559.87/x
  3. Step 3: Cross multiply
    891.57x = 1,229.25 × 559.87
  4. Step 4: Simplify right side
    891.57x = 688,220.20
  5. Step 5: Solve for x
    x = 688,220.20/891.57
  6. Step 6: Final answer
    x = 771.92

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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.