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Finding the Fourth Proportional to 1,193.30, 1,791.48 and 919.58

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Solution

The fourth proportional to 1,193.30, 1,791.48 and 919.58 is: 1,380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.30 : 1,791.48 = 919.58 : x
  2. Step 2: Convert to fraction form
    1,193.30/1,791.48 = 919.58/x
  3. Step 3: Cross multiply
    1,193.30x = 1,791.48 × 919.58
  4. Step 4: Simplify right side
    1,193.30x = 1,647,409.18
  5. Step 5: Solve for x
    x = 1,647,409.18/1,193.30
  6. Step 6: Final answer
    x = 1,380.55

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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.