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Finding the Fourth Proportional to 820.01, 1,229.85 and 272.04

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Solution

The fourth proportional to 820.01, 1,229.85 and 272.04 is: 408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.01 : 1,229.85 = 272.04 : x
  2. Step 2: Convert to fraction form
    820.01/1,229.85 = 272.04/x
  3. Step 3: Cross multiply
    820.01x = 1,229.85 × 272.04
  4. Step 4: Simplify right side
    820.01x = 334,568.39
  5. Step 5: Solve for x
    x = 334,568.39/820.01
  6. Step 6: Final answer
    x = 408.01

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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.