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Finding the Fourth Proportional to 1,097.44, 1,652.57 and 791.42

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Solution

The fourth proportional to 1,097.44, 1,652.57 and 791.42 is: 1,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.44 : 1,652.57 = 791.42 : x
  2. Step 2: Convert to fraction form
    1,097.44/1,652.57 = 791.42/x
  3. Step 3: Cross multiply
    1,097.44x = 1,652.57 × 791.42
  4. Step 4: Simplify right side
    1,097.44x = 1,307,864.73
  5. Step 5: Solve for x
    x = 1,307,864.73/1,097.44
  6. Step 6: Final answer
    x = 1,191.74

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Why These Related Problems?

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