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Finding the Fourth Proportional to 1,097.43, 1,652.60 and 791.43

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Solution

The fourth proportional to 1,097.43, 1,652.60 and 791.43 is: 1,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.43 : 1,652.60 = 791.43 : x
  2. Step 2: Convert to fraction form
    1,097.43/1,652.60 = 791.43/x
  3. Step 3: Cross multiply
    1,097.43x = 1,652.60 × 791.43
  4. Step 4: Simplify right side
    1,097.43x = 1,307,922.30
  5. Step 5: Solve for x
    x = 1,307,922.30/1,097.43
  6. Step 6: Final answer
    x = 1,191.81

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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.