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Finding the Fourth Proportional to 819.44, 1,130.82 and 470.13

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Solution

The fourth proportional to 819.44, 1,130.82 and 470.13 is: 648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.44 : 1,130.82 = 470.13 : x
  2. Step 2: Convert to fraction form
    819.44/1,130.82 = 470.13/x
  3. Step 3: Cross multiply
    819.44x = 1,130.82 × 470.13
  4. Step 4: Simplify right side
    819.44x = 531,632.41
  5. Step 5: Solve for x
    x = 531,632.41/819.44
  6. Step 6: Final answer
    x = 648.78

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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.