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Finding the Fourth Proportional to 820.24, 1,229.54 and 408.76

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Solution

The fourth proportional to 820.24, 1,229.54 and 408.76 is: 612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.24 : 1,229.54 = 408.76 : x
  2. Step 2: Convert to fraction form
    820.24/1,229.54 = 408.76/x
  3. Step 3: Cross multiply
    820.24x = 1,229.54 × 408.76
  4. Step 4: Simplify right side
    820.24x = 502,586.77
  5. Step 5: Solve for x
    x = 502,586.77/820.24
  6. Step 6: Final answer
    x = 612.73

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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.