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Finding the Fourth Proportional to 1,194.22, 1,791.63 and 372.61

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Solution

The fourth proportional to 1,194.22, 1,791.63 and 372.61 is: 559.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.22 : 1,791.63 = 372.61 : x
  2. Step 2: Convert to fraction form
    1,194.22/1,791.63 = 372.61/x
  3. Step 3: Cross multiply
    1,194.22x = 1,791.63 × 372.61
  4. Step 4: Simplify right side
    1,194.22x = 667,579.25
  5. Step 5: Solve for x
    x = 667,579.25/1,194.22
  6. Step 6: Final answer
    x = 559.01

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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.