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Finding the Fourth Proportional to 824.30, 1,235.82 and 413.73

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Solution

The fourth proportional to 824.30, 1,235.82 and 413.73 is: 620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.30 : 1,235.82 = 413.73 : x
  2. Step 2: Convert to fraction form
    824.30/1,235.82 = 413.73/x
  3. Step 3: Cross multiply
    824.30x = 1,235.82 × 413.73
  4. Step 4: Simplify right side
    824.30x = 511,297.36
  5. Step 5: Solve for x
    x = 511,297.36/824.30
  6. Step 6: Final answer
    x = 620.28

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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.