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Finding the Fourth Proportional to 778.97, 1,074.92 and 484.13

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Solution

The fourth proportional to 778.97, 1,074.92 and 484.13 is: 668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.97 : 1,074.92 = 484.13 : x
  2. Step 2: Convert to fraction form
    778.97/1,074.92 = 484.13/x
  3. Step 3: Cross multiply
    778.97x = 1,074.92 × 484.13
  4. Step 4: Simplify right side
    778.97x = 520,393.22
  5. Step 5: Solve for x
    x = 520,393.22/778.97
  6. Step 6: Final answer
    x = 668.06

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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.