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Finding the Fourth Proportional to 778.91, 1,168.55 and 231.08

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Solution

The fourth proportional to 778.91, 1,168.55 and 231.08 is: 346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.91 : 1,168.55 = 231.08 : x
  2. Step 2: Convert to fraction form
    778.91/1,168.55 = 231.08/x
  3. Step 3: Cross multiply
    778.91x = 1,168.55 × 231.08
  4. Step 4: Simplify right side
    778.91x = 270,027.38
  5. Step 5: Solve for x
    x = 270,027.38/778.91
  6. Step 6: Final answer
    x = 346.67

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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.