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Finding the Fourth Proportional to 819.10, 1,222.36 and 731.52

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Solution

The fourth proportional to 819.10, 1,222.36 and 731.52 is: 1,091.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.10 : 1,222.36 = 731.52 : x
  2. Step 2: Convert to fraction form
    819.10/1,222.36 = 731.52/x
  3. Step 3: Cross multiply
    819.10x = 1,222.36 × 731.52
  4. Step 4: Simplify right side
    819.10x = 894,171.02
  5. Step 5: Solve for x
    x = 894,171.02/819.10
  6. Step 6: Final answer
    x = 1,091.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.