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Finding the Fourth Proportional to 1,193.86, 1,791.21 and 726.28

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Solution

The fourth proportional to 1,193.86, 1,791.21 and 726.28 is: 1,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.86 : 1,791.21 = 726.28 : x
  2. Step 2: Convert to fraction form
    1,193.86/1,791.21 = 726.28/x
  3. Step 3: Cross multiply
    1,193.86x = 1,791.21 × 726.28
  4. Step 4: Simplify right side
    1,193.86x = 1,300,920.00
  5. Step 5: Solve for x
    x = 1,300,920.00/1,193.86
  6. Step 6: Final answer
    x = 1,089.68

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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.