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Finding the Fourth Proportional to 852.43, 1,279.02 and 413.44

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Solution

The fourth proportional to 852.43, 1,279.02 and 413.44 is: 620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.43 : 1,279.02 = 413.44 : x
  2. Step 2: Convert to fraction form
    852.43/1,279.02 = 413.44/x
  3. Step 3: Cross multiply
    852.43x = 1,279.02 × 413.44
  4. Step 4: Simplify right side
    852.43x = 528,791.63
  5. Step 5: Solve for x
    x = 528,791.63/852.43
  6. Step 6: Final answer
    x = 620.34

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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.