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Finding the Fourth Proportional to 820.76, 1,231.68 and 387.96

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Solution

The fourth proportional to 820.76, 1,231.68 and 387.96 is: 582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.76 : 1,231.68 = 387.96 : x
  2. Step 2: Convert to fraction form
    820.76/1,231.68 = 387.96/x
  3. Step 3: Cross multiply
    820.76x = 1,231.68 × 387.96
  4. Step 4: Simplify right side
    820.76x = 477,842.57
  5. Step 5: Solve for x
    x = 477,842.57/820.76
  6. Step 6: Final answer
    x = 582.20

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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.