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Finding the Fourth Proportional to 824.25, 1,236.39 and 413.31

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Solution

The fourth proportional to 824.25, 1,236.39 and 413.31 is: 619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.25 : 1,236.39 = 413.31 : x
  2. Step 2: Convert to fraction form
    824.25/1,236.39 = 413.31/x
  3. Step 3: Cross multiply
    824.25x = 1,236.39 × 413.31
  4. Step 4: Simplify right side
    824.25x = 511,012.35
  5. Step 5: Solve for x
    x = 511,012.35/824.25
  6. Step 6: Final answer
    x = 619.97

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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.