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Finding the Fourth Proportional to 891.56, 1,229.22 and 742.16

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Solution

The fourth proportional to 891.56, 1,229.22 and 742.16 is: 1,023.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.56 : 1,229.22 = 742.16 : x
  2. Step 2: Convert to fraction form
    891.56/1,229.22 = 742.16/x
  3. Step 3: Cross multiply
    891.56x = 1,229.22 × 742.16
  4. Step 4: Simplify right side
    891.56x = 912,277.92
  5. Step 5: Solve for x
    x = 912,277.92/891.56
  6. Step 6: Final answer
    x = 1,023.24

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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.