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Finding the Fourth Proportional to 1,195.44, 1,794.69 and 921.72

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Solution

The fourth proportional to 1,195.44, 1,794.69 and 921.72 is: 1,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.44 : 1,794.69 = 921.72 : x
  2. Step 2: Convert to fraction form
    1,195.44/1,794.69 = 921.72/x
  3. Step 3: Cross multiply
    1,195.44x = 1,794.69 × 921.72
  4. Step 4: Simplify right side
    1,195.44x = 1,654,201.67
  5. Step 5: Solve for x
    x = 1,654,201.67/1,195.44
  6. Step 6: Final answer
    x = 1,383.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.