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Finding the Fourth Proportional to 891.72, 1,229.32 and 559.91

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Solution

The fourth proportional to 891.72, 1,229.32 and 559.91 is: 771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.72 : 1,229.32 = 559.91 : x
  2. Step 2: Convert to fraction form
    891.72/1,229.32 = 559.91/x
  3. Step 3: Cross multiply
    891.72x = 1,229.32 × 559.91
  4. Step 4: Simplify right side
    891.72x = 688,308.56
  5. Step 5: Solve for x
    x = 688,308.56/891.72
  6. Step 6: Final answer
    x = 771.89

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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.