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Finding the Fourth Proportional to 766.24, 1,149.12 and 303.89

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Solution

The fourth proportional to 766.24, 1,149.12 and 303.89 is: 455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.24 : 1,149.12 = 303.89 : x
  2. Step 2: Convert to fraction form
    766.24/1,149.12 = 303.89/x
  3. Step 3: Cross multiply
    766.24x = 1,149.12 × 303.89
  4. Step 4: Simplify right side
    766.24x = 349,200.33
  5. Step 5: Solve for x
    x = 349,200.33/766.24
  6. Step 6: Final answer
    x = 455.73

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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.