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Finding the Fourth Proportional to 1,193.57, 1,791.13 and 544.31

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Solution

The fourth proportional to 1,193.57, 1,791.13 and 544.31 is: 816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.57 : 1,791.13 = 544.31 : x
  2. Step 2: Convert to fraction form
    1,193.57/1,791.13 = 544.31/x
  3. Step 3: Cross multiply
    1,193.57x = 1,791.13 × 544.31
  4. Step 4: Simplify right side
    1,193.57x = 974,929.97
  5. Step 5: Solve for x
    x = 974,929.97/1,193.57
  6. Step 6: Final answer
    x = 816.82

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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.