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Finding the Fourth Proportional to 794.82, 1,190.94 and 665.22

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Solution

The fourth proportional to 794.82, 1,190.94 and 665.22 is: 996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.82 : 1,190.94 = 665.22 : x
  2. Step 2: Convert to fraction form
    794.82/1,190.94 = 665.22/x
  3. Step 3: Cross multiply
    794.82x = 1,190.94 × 665.22
  4. Step 4: Simplify right side
    794.82x = 792,237.11
  5. Step 5: Solve for x
    x = 792,237.11/794.82
  6. Step 6: Final answer
    x = 996.75

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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.