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Finding the Fourth Proportional to 766.56, 1,149.83 and 333.72

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Solution

The fourth proportional to 766.56, 1,149.83 and 333.72 is: 500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.56 : 1,149.83 = 333.72 : x
  2. Step 2: Convert to fraction form
    766.56/1,149.83 = 333.72/x
  3. Step 3: Cross multiply
    766.56x = 1,149.83 × 333.72
  4. Step 4: Simplify right side
    766.56x = 383,720.85
  5. Step 5: Solve for x
    x = 383,720.85/766.56
  6. Step 6: Final answer
    x = 500.57

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1.5x scale

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.