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Finding the Fourth Proportional to 820.83, 1,231.10 and 381.96

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Solution

The fourth proportional to 820.83, 1,231.10 and 381.96 is: 572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.83 : 1,231.10 = 381.96 : x
  2. Step 2: Convert to fraction form
    820.83/1,231.10 = 381.96/x
  3. Step 3: Cross multiply
    820.83x = 1,231.10 × 381.96
  4. Step 4: Simplify right side
    820.83x = 470,229.05
  5. Step 5: Solve for x
    x = 470,229.05/820.83
  6. Step 6: Final answer
    x = 572.87

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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.