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Finding the Fourth Proportional to 819.71, 1,229.81 and 473.29

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Solution

The fourth proportional to 819.71, 1,229.81 and 473.29 is: 710.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.71 : 1,229.81 = 473.29 : x
  2. Step 2: Convert to fraction form
    819.71/1,229.81 = 473.29/x
  3. Step 3: Cross multiply
    819.71x = 1,229.81 × 473.29
  4. Step 4: Simplify right side
    819.71x = 582,054.41
  5. Step 5: Solve for x
    x = 582,054.41/819.71
  6. Step 6: Final answer
    x = 710.07

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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.