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Finding the Fourth Proportional to 1,097.87, 1,653.24 and 791.84

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Solution

The fourth proportional to 1,097.87, 1,653.24 and 791.84 is: 1,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.87 : 1,653.24 = 791.84 : x
  2. Step 2: Convert to fraction form
    1,097.87/1,653.24 = 791.84/x
  3. Step 3: Cross multiply
    1,097.87x = 1,653.24 × 791.84
  4. Step 4: Simplify right side
    1,097.87x = 1,309,093.30
  5. Step 5: Solve for x
    x = 1,309,093.30/1,097.87
  6. Step 6: Final answer
    x = 1,192.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.