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Finding the Fourth Proportional to 778.57, 1,167.84 and 201.43

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Solution

The fourth proportional to 778.57, 1,167.84 and 201.43 is: 302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.57 : 1,167.84 = 201.43 : x
  2. Step 2: Convert to fraction form
    778.57/1,167.84 = 201.43/x
  3. Step 3: Cross multiply
    778.57x = 1,167.84 × 201.43
  4. Step 4: Simplify right side
    778.57x = 235,238.01
  5. Step 5: Solve for x
    x = 235,238.01/778.57
  6. Step 6: Final answer
    x = 302.14

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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.