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Finding the Fourth Proportional to 820.44, 1,229.33 and 381.23

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Solution

The fourth proportional to 820.44, 1,229.33 and 381.23 is: 571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.44 : 1,229.33 = 381.23 : x
  2. Step 2: Convert to fraction form
    820.44/1,229.33 = 381.23/x
  3. Step 3: Cross multiply
    820.44x = 1,229.33 × 381.23
  4. Step 4: Simplify right side
    820.44x = 468,649.42
  5. Step 5: Solve for x
    x = 468,649.42/820.44
  6. Step 6: Final answer
    x = 571.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.