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Finding the Fourth Proportional to 766.91, 1,147.13 and 520.67

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Solution

The fourth proportional to 766.91, 1,147.13 and 520.67 is: 778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.91 : 1,147.13 = 520.67 : x
  2. Step 2: Convert to fraction form
    766.91/1,147.13 = 520.67/x
  3. Step 3: Cross multiply
    766.91x = 1,147.13 × 520.67
  4. Step 4: Simplify right side
    766.91x = 597,273.57
  5. Step 5: Solve for x
    x = 597,273.57/766.91
  6. Step 6: Final answer
    x = 778.81

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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.