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Finding the Fourth Proportional to 1,194.73, 1,791.92 and 464.20

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Solution

The fourth proportional to 1,194.73, 1,791.92 and 464.20 is: 696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.73 : 1,791.92 = 464.20 : x
  2. Step 2: Convert to fraction form
    1,194.73/1,791.92 = 464.20/x
  3. Step 3: Cross multiply
    1,194.73x = 1,791.92 × 464.20
  4. Step 4: Simplify right side
    1,194.73x = 831,805.94
  5. Step 5: Solve for x
    x = 831,805.94/1,194.73
  6. Step 6: Final answer
    x = 696.23

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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.