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Finding the Fourth Proportional to 778.95, 1,161.95 and 766.80

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Solution

The fourth proportional to 778.95, 1,161.95 and 766.80 is: 1,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.95 : 1,161.95 = 766.80 : x
  2. Step 2: Convert to fraction form
    778.95/1,161.95 = 766.80/x
  3. Step 3: Cross multiply
    778.95x = 1,161.95 × 766.80
  4. Step 4: Simplify right side
    778.95x = 890,979.43
  5. Step 5: Solve for x
    x = 890,979.43/778.95
  6. Step 6: Final answer
    x = 1,143.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.