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Finding the Fourth Proportional to 824.28, 1,237.19 and 413.88

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Solution

The fourth proportional to 824.28, 1,237.19 and 413.88 is: 621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.28 : 1,237.19 = 413.88 : x
  2. Step 2: Convert to fraction form
    824.28/1,237.19 = 413.88/x
  3. Step 3: Cross multiply
    824.28x = 1,237.19 × 413.88
  4. Step 4: Simplify right side
    824.28x = 512,046.13
  5. Step 5: Solve for x
    x = 512,046.13/824.28
  6. Step 6: Final answer
    x = 621.20

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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.