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Finding the Fourth Proportional to 778.22, 1,167.54 and 408.05

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Solution

The fourth proportional to 778.22, 1,167.54 and 408.05 is: 612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.22 : 1,167.54 = 408.05 : x
  2. Step 2: Convert to fraction form
    778.22/1,167.54 = 408.05/x
  3. Step 3: Cross multiply
    778.22x = 1,167.54 × 408.05
  4. Step 4: Simplify right side
    778.22x = 476,406.82
  5. Step 5: Solve for x
    x = 476,406.82/778.22
  6. Step 6: Final answer
    x = 612.18

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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.