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Finding the Fourth Proportional to 820.38, 1,229.67 and 381.84

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Solution

The fourth proportional to 820.38, 1,229.67 and 381.84 is: 572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.38 : 1,229.67 = 381.84 : x
  2. Step 2: Convert to fraction form
    820.38/1,229.67 = 381.84/x
  3. Step 3: Cross multiply
    820.38x = 1,229.67 × 381.84
  4. Step 4: Simplify right side
    820.38x = 469,537.19
  5. Step 5: Solve for x
    x = 469,537.19/820.38
  6. Step 6: Final answer
    x = 572.34

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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.