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Finding the Fourth Proportional to 806.52, 1,105.74 and 791.94

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Solution

The fourth proportional to 806.52, 1,105.74 and 791.94 is: 1,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.52 : 1,105.74 = 791.94 : x
  2. Step 2: Convert to fraction form
    806.52/1,105.74 = 791.94/x
  3. Step 3: Cross multiply
    806.52x = 1,105.74 × 791.94
  4. Step 4: Simplify right side
    806.52x = 875,679.74
  5. Step 5: Solve for x
    x = 875,679.74/806.52
  6. Step 6: Final answer
    x = 1,085.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.