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Finding the Fourth Proportional to 1,449.43, 1,999.73 and 819.88

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Solution

The fourth proportional to 1,449.43, 1,999.73 and 819.88 is: 1,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.43 : 1,999.73 = 819.88 : x
  2. Step 2: Convert to fraction form
    1,449.43/1,999.73 = 819.88/x
  3. Step 3: Cross multiply
    1,449.43x = 1,999.73 × 819.88
  4. Step 4: Simplify right side
    1,449.43x = 1,639,535.68
  5. Step 5: Solve for x
    x = 1,639,535.68/1,449.43
  6. Step 6: Final answer
    x = 1,131.16

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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.