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Finding the Fourth Proportional to 778.86, 1,074.82 and 447.28

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Solution

The fourth proportional to 778.86, 1,074.82 and 447.28 is: 617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.86 : 1,074.82 = 447.28 : x
  2. Step 2: Convert to fraction form
    778.86/1,074.82 = 447.28/x
  3. Step 3: Cross multiply
    778.86x = 1,074.82 × 447.28
  4. Step 4: Simplify right side
    778.86x = 480,745.49
  5. Step 5: Solve for x
    x = 480,745.49/778.86
  6. Step 6: Final answer
    x = 617.24

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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.