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Finding the Fourth Proportional to 778.86, 1,167.95 and 413.57

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Solution

The fourth proportional to 778.86, 1,167.95 and 413.57 is: 620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.86 : 1,167.95 = 413.57 : x
  2. Step 2: Convert to fraction form
    778.86/1,167.95 = 413.57/x
  3. Step 3: Cross multiply
    778.86x = 1,167.95 × 413.57
  4. Step 4: Simplify right side
    778.86x = 483,021.17
  5. Step 5: Solve for x
    x = 483,021.17/778.86
  6. Step 6: Final answer
    x = 620.16

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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.