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Finding the Fourth Proportional to 766.10, 1,149.21 and 349.56

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Solution

The fourth proportional to 766.10, 1,149.21 and 349.56 is: 524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.10 : 1,149.21 = 349.56 : x
  2. Step 2: Convert to fraction form
    766.10/1,149.21 = 349.56/x
  3. Step 3: Cross multiply
    766.10x = 1,149.21 × 349.56
  4. Step 4: Simplify right side
    766.10x = 401,717.85
  5. Step 5: Solve for x
    x = 401,717.85/766.10
  6. Step 6: Final answer
    x = 524.37

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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.