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Finding the Fourth Proportional to 766.19, 1,149.42 and 333.65

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Solution

The fourth proportional to 766.19, 1,149.42 and 333.65 is: 500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.19 : 1,149.42 = 333.65 : x
  2. Step 2: Convert to fraction form
    766.19/1,149.42 = 333.65/x
  3. Step 3: Cross multiply
    766.19x = 1,149.42 × 333.65
  4. Step 4: Simplify right side
    766.19x = 383,503.98
  5. Step 5: Solve for x
    x = 383,503.98/766.19
  6. Step 6: Final answer
    x = 500.53

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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.