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Finding the Fourth Proportional to 819.87, 1,229.83 and 264.63

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Solution

The fourth proportional to 819.87, 1,229.83 and 264.63 is: 396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.87 : 1,229.83 = 264.63 : x
  2. Step 2: Convert to fraction form
    819.87/1,229.83 = 264.63/x
  3. Step 3: Cross multiply
    819.87x = 1,229.83 × 264.63
  4. Step 4: Simplify right side
    819.87x = 325,449.25
  5. Step 5: Solve for x
    x = 325,449.25/819.87
  6. Step 6: Final answer
    x = 396.95

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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.