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Finding the Fourth Proportional to 778.67, 1,074.77 and 459.92

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Solution

The fourth proportional to 778.67, 1,074.77 and 459.92 is: 634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.67 : 1,074.77 = 459.92 : x
  2. Step 2: Convert to fraction form
    778.67/1,074.77 = 459.92/x
  3. Step 3: Cross multiply
    778.67x = 1,074.77 × 459.92
  4. Step 4: Simplify right side
    778.67x = 494,300.54
  5. Step 5: Solve for x
    x = 494,300.54/778.67
  6. Step 6: Final answer
    x = 634.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.