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Finding the Fourth Proportional to 1,279.50, 1,919.46 and 413.64

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Solution

The fourth proportional to 1,279.50, 1,919.46 and 413.64 is: 620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.50 : 1,919.46 = 413.64 : x
  2. Step 2: Convert to fraction form
    1,279.50/1,919.46 = 413.64/x
  3. Step 3: Cross multiply
    1,279.50x = 1,919.46 × 413.64
  4. Step 4: Simplify right side
    1,279.50x = 793,965.43
  5. Step 5: Solve for x
    x = 793,965.43/1,279.50
  6. Step 6: Final answer
    x = 620.53

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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.