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Finding the Fourth Proportional to 766.46, 1,149.22 and 419.30

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Solution

The fourth proportional to 766.46, 1,149.22 and 419.30 is: 628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.46 : 1,149.22 = 419.30 : x
  2. Step 2: Convert to fraction form
    766.46/1,149.22 = 419.30/x
  3. Step 3: Cross multiply
    766.46x = 1,149.22 × 419.30
  4. Step 4: Simplify right side
    766.46x = 481,867.95
  5. Step 5: Solve for x
    x = 481,867.95/766.46
  6. Step 6: Final answer
    x = 628.69

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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.