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Finding the Fourth Proportional to 766.07, 1,149.21 and 333.21

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Solution

The fourth proportional to 766.07, 1,149.21 and 333.21 is: 499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.07 : 1,149.21 = 333.21 : x
  2. Step 2: Convert to fraction form
    766.07/1,149.21 = 333.21/x
  3. Step 3: Cross multiply
    766.07x = 1,149.21 × 333.21
  4. Step 4: Simplify right side
    766.07x = 382,928.26
  5. Step 5: Solve for x
    x = 382,928.26/766.07
  6. Step 6: Final answer
    x = 499.86

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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.