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Finding the Fourth Proportional to 778.72, 1,074.55 and 447.14

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Solution

The fourth proportional to 778.72, 1,074.55 and 447.14 is: 617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.72 : 1,074.55 = 447.14 : x
  2. Step 2: Convert to fraction form
    778.72/1,074.55 = 447.14/x
  3. Step 3: Cross multiply
    778.72x = 1,074.55 × 447.14
  4. Step 4: Simplify right side
    778.72x = 480,474.29
  5. Step 5: Solve for x
    x = 480,474.29/778.72
  6. Step 6: Final answer
    x = 617.01

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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.