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Finding the Fourth Proportional to 778.88, 1,168.63 and 413.78

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Solution

The fourth proportional to 778.88, 1,168.63 and 413.78 is: 620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.88 : 1,168.63 = 413.78 : x
  2. Step 2: Convert to fraction form
    778.88/1,168.63 = 413.78/x
  3. Step 3: Cross multiply
    778.88x = 1,168.63 × 413.78
  4. Step 4: Simplify right side
    778.88x = 483,548.84
  5. Step 5: Solve for x
    x = 483,548.84/778.88
  6. Step 6: Final answer
    x = 620.82

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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.