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Finding the Fourth Proportional to 1,195.89, 1,791.23 and 732.26

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Solution

The fourth proportional to 1,195.89, 1,791.23 and 732.26 is: 1,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.89 : 1,791.23 = 732.26 : x
  2. Step 2: Convert to fraction form
    1,195.89/1,791.23 = 732.26/x
  3. Step 3: Cross multiply
    1,195.89x = 1,791.23 × 732.26
  4. Step 4: Simplify right side
    1,195.89x = 1,311,652.39
  5. Step 5: Solve for x
    x = 1,311,652.39/1,195.89
  6. Step 6: Final answer
    x = 1,096.80

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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.