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Finding the Fourth Proportional to 778.08, 1,166 and 413.04

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Solution

The fourth proportional to 778.08, 1,166 and 413.04 is: 618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.08 : 1,166 = 413.04 : x
  2. Step 2: Convert to fraction form
    778.08/1,166 = 413.04/x
  3. Step 3: Cross multiply
    778.08x = 1,166 × 413.04
  4. Step 4: Simplify right side
    778.08x = 481,604.64
  5. Step 5: Solve for x
    x = 481,604.64/778.08
  6. Step 6: Final answer
    x = 618.97

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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.