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Finding the Fourth Proportional to 824.45, 1,236.52 and 413.48

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Solution

The fourth proportional to 824.45, 1,236.52 and 413.48 is: 620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.45 : 1,236.52 = 413.48 : x
  2. Step 2: Convert to fraction form
    824.45/1,236.52 = 413.48/x
  3. Step 3: Cross multiply
    824.45x = 1,236.52 × 413.48
  4. Step 4: Simplify right side
    824.45x = 511,272.94
  5. Step 5: Solve for x
    x = 511,272.94/824.45
  6. Step 6: Final answer
    x = 620.14

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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.