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Finding the Fourth Proportional to 820.05, 1,230.17 and 272.03

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Solution

The fourth proportional to 820.05, 1,230.17 and 272.03 is: 408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.05 : 1,230.17 = 272.03 : x
  2. Step 2: Convert to fraction form
    820.05/1,230.17 = 272.03/x
  3. Step 3: Cross multiply
    820.05x = 1,230.17 × 272.03
  4. Step 4: Simplify right side
    820.05x = 334,644.86
  5. Step 5: Solve for x
    x = 334,644.86/820.05
  6. Step 6: Final answer
    x = 408.08

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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.