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Finding the Fourth Proportional to 778.25, 1,166.67 and 290.96

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Solution

The fourth proportional to 778.25, 1,166.67 and 290.96 is: 436.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.25 : 1,166.67 = 290.96 : x
  2. Step 2: Convert to fraction form
    778.25/1,166.67 = 290.96/x
  3. Step 3: Cross multiply
    778.25x = 1,166.67 × 290.96
  4. Step 4: Simplify right side
    778.25x = 339,454.30
  5. Step 5: Solve for x
    x = 339,454.30/778.25
  6. Step 6: Final answer
    x = 436.18

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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.