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Finding the Fourth Proportional to 819.06, 1,227.78 and 453.08

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Solution

The fourth proportional to 819.06, 1,227.78 and 453.08 is: 679.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.06 : 1,227.78 = 453.08 : x
  2. Step 2: Convert to fraction form
    819.06/1,227.78 = 453.08/x
  3. Step 3: Cross multiply
    819.06x = 1,227.78 × 453.08
  4. Step 4: Simplify right side
    819.06x = 556,276.42
  5. Step 5: Solve for x
    x = 556,276.42/819.06
  6. Step 6: Final answer
    x = 679.17

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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.