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Finding the Fourth Proportional to 766.49, 1,149.41 and 401.09

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Solution

The fourth proportional to 766.49, 1,149.41 and 401.09 is: 601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.49 : 1,149.41 = 401.09 : x
  2. Step 2: Convert to fraction form
    766.49/1,149.41 = 401.09/x
  3. Step 3: Cross multiply
    766.49x = 1,149.41 × 401.09
  4. Step 4: Simplify right side
    766.49x = 461,012.11
  5. Step 5: Solve for x
    x = 461,012.11/766.49
  6. Step 6: Final answer
    x = 601.46

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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.