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Finding the Fourth Proportional to 819.76, 1,230.52 and 473.42

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Solution

The fourth proportional to 819.76, 1,230.52 and 473.42 is: 710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.76 : 1,230.52 = 473.42 : x
  2. Step 2: Convert to fraction form
    819.76/1,230.52 = 473.42/x
  3. Step 3: Cross multiply
    819.76x = 1,230.52 × 473.42
  4. Step 4: Simplify right side
    819.76x = 582,555.96
  5. Step 5: Solve for x
    x = 582,555.96/819.76
  6. Step 6: Final answer
    x = 710.64

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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.