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Finding the Fourth Proportional to 888.64, 1,227.09 and 742.84

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Solution

The fourth proportional to 888.64, 1,227.09 and 742.84 is: 1,025.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.64 : 1,227.09 = 742.84 : x
  2. Step 2: Convert to fraction form
    888.64/1,227.09 = 742.84/x
  3. Step 3: Cross multiply
    888.64x = 1,227.09 × 742.84
  4. Step 4: Simplify right side
    888.64x = 911,531.54
  5. Step 5: Solve for x
    x = 911,531.54/888.64
  6. Step 6: Final answer
    x = 1,025.76

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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.