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Finding the Fourth Proportional to 778.13, 1,166.03 and 613.97

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Solution

The fourth proportional to 778.13, 1,166.03 and 613.97 is: 920.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.13 : 1,166.03 = 613.97 : x
  2. Step 2: Convert to fraction form
    778.13/1,166.03 = 613.97/x
  3. Step 3: Cross multiply
    778.13x = 1,166.03 × 613.97
  4. Step 4: Simplify right side
    778.13x = 715,907.44
  5. Step 5: Solve for x
    x = 715,907.44/778.13
  6. Step 6: Final answer
    x = 920.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.