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Finding the Fourth Proportional to 1,163.22, 1,743.24 and 432.09

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Solution

The fourth proportional to 1,163.22, 1,743.24 and 432.09 is: 647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.22 : 1,743.24 = 432.09 : x
  2. Step 2: Convert to fraction form
    1,163.22/1,743.24 = 432.09/x
  3. Step 3: Cross multiply
    1,163.22x = 1,743.24 × 432.09
  4. Step 4: Simplify right side
    1,163.22x = 753,236.57
  5. Step 5: Solve for x
    x = 753,236.57/1,163.22
  6. Step 6: Final answer
    x = 647.54

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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.