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Finding the Fourth Proportional to 778.85, 1,074.87 and 754.61

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Solution

The fourth proportional to 778.85, 1,074.87 and 754.61 is: 1,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.85 : 1,074.87 = 754.61 : x
  2. Step 2: Convert to fraction form
    778.85/1,074.87 = 754.61/x
  3. Step 3: Cross multiply
    778.85x = 1,074.87 × 754.61
  4. Step 4: Simplify right side
    778.85x = 811,103.88
  5. Step 5: Solve for x
    x = 811,103.88/778.85
  6. Step 6: Final answer
    x = 1,041.42

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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.