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Finding the Fourth Proportional to 1,229.24, 1,843.73 and 351.81

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Solution

The fourth proportional to 1,229.24, 1,843.73 and 351.81 is: 527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.24 : 1,843.73 = 351.81 : x
  2. Step 2: Convert to fraction form
    1,229.24/1,843.73 = 351.81/x
  3. Step 3: Cross multiply
    1,229.24x = 1,843.73 × 351.81
  4. Step 4: Simplify right side
    1,229.24x = 648,642.21
  5. Step 5: Solve for x
    x = 648,642.21/1,229.24
  6. Step 6: Final answer
    x = 527.68

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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.