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Finding the Fourth Proportional to 766.04, 1,149.42 and 401

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Solution

The fourth proportional to 766.04, 1,149.42 and 401 is: 601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.04 : 1,149.42 = 401 : x
  2. Step 2: Convert to fraction form
    766.04/1,149.42 = 401/x
  3. Step 3: Cross multiply
    766.04x = 1,149.42 × 401
  4. Step 4: Simplify right side
    766.04x = 460,917.42
  5. Step 5: Solve for x
    x = 460,917.42/766.04
  6. Step 6: Final answer
    x = 601.69

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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.