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Finding the Fourth Proportional to 819.86, 1,229.07 and 307.22

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Solution

The fourth proportional to 819.86, 1,229.07 and 307.22 is: 460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.86 : 1,229.07 = 307.22 : x
  2. Step 2: Convert to fraction form
    819.86/1,229.07 = 307.22/x
  3. Step 3: Cross multiply
    819.86x = 1,229.07 × 307.22
  4. Step 4: Simplify right side
    819.86x = 377,594.89
  5. Step 5: Solve for x
    x = 377,594.89/819.86
  6. Step 6: Final answer
    x = 460.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.