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Finding the Fourth Proportional to 778.85, 1,166.91 and 694.11

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Solution

The fourth proportional to 778.85, 1,166.91 and 694.11 is: 1,039.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.85 : 1,166.91 = 694.11 : x
  2. Step 2: Convert to fraction form
    778.85/1,166.91 = 694.11/x
  3. Step 3: Cross multiply
    778.85x = 1,166.91 × 694.11
  4. Step 4: Simplify right side
    778.85x = 809,963.01
  5. Step 5: Solve for x
    x = 809,963.01/778.85
  6. Step 6: Final answer
    x = 1,039.94

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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.