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Finding the Fourth Proportional to 820.29, 1,231.65 and 387.75

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Solution

The fourth proportional to 820.29, 1,231.65 and 387.75 is: 582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.29 : 1,231.65 = 387.75 : x
  2. Step 2: Convert to fraction form
    820.29/1,231.65 = 387.75/x
  3. Step 3: Cross multiply
    820.29x = 1,231.65 × 387.75
  4. Step 4: Simplify right side
    820.29x = 477,572.29
  5. Step 5: Solve for x
    x = 477,572.29/820.29
  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.