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Finding the Fourth Proportional to 801.44, 1,104.96 and 538.88

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Solution

The fourth proportional to 801.44, 1,104.96 and 538.88 is: 742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.44 : 1,104.96 = 538.88 : x
  2. Step 2: Convert to fraction form
    801.44/1,104.96 = 538.88/x
  3. Step 3: Cross multiply
    801.44x = 1,104.96 × 538.88
  4. Step 4: Simplify right side
    801.44x = 595,440.84
  5. Step 5: Solve for x
    x = 595,440.84/801.44
  6. Step 6: Final answer
    x = 742.96

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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.