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Finding the Fourth Proportional to 891.28, 1,229.50 and 559.08

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Solution

The fourth proportional to 891.28, 1,229.50 and 559.08 is: 771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.28 : 1,229.50 = 559.08 : x
  2. Step 2: Convert to fraction form
    891.28/1,229.50 = 559.08/x
  3. Step 3: Cross multiply
    891.28x = 1,229.50 × 559.08
  4. Step 4: Simplify right side
    891.28x = 687,388.86
  5. Step 5: Solve for x
    x = 687,388.86/891.28
  6. Step 6: Final answer
    x = 771.24

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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.