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Finding the Fourth Proportional to 778.66, 1,074.50 and 447.14

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Solution

The fourth proportional to 778.66, 1,074.50 and 447.14 is: 617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.66 : 1,074.50 = 447.14 : x
  2. Step 2: Convert to fraction form
    778.66/1,074.50 = 447.14/x
  3. Step 3: Cross multiply
    778.66x = 1,074.50 × 447.14
  4. Step 4: Simplify right side
    778.66x = 480,451.93
  5. Step 5: Solve for x
    x = 480,451.93/778.66
  6. Step 6: Final answer
    x = 617.02

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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.