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Finding the Fourth Proportional to 1,194.87, 1,791.24 and 464.27

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Solution

The fourth proportional to 1,194.87, 1,791.24 and 464.27 is: 695.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.87 : 1,791.24 = 464.27 : x
  2. Step 2: Convert to fraction form
    1,194.87/1,791.24 = 464.27/x
  3. Step 3: Cross multiply
    1,194.87x = 1,791.24 × 464.27
  4. Step 4: Simplify right side
    1,194.87x = 831,621.73
  5. Step 5: Solve for x
    x = 831,621.73/1,194.87
  6. Step 6: Final answer
    x = 695.99

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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.