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Finding the Fourth Proportional to 794.03, 1,189.56 and 664.85

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Solution

The fourth proportional to 794.03, 1,189.56 and 664.85 is: 996.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.03 : 1,189.56 = 664.85 : x
  2. Step 2: Convert to fraction form
    794.03/1,189.56 = 664.85/x
  3. Step 3: Cross multiply
    794.03x = 1,189.56 × 664.85
  4. Step 4: Simplify right side
    794.03x = 790,878.97
  5. Step 5: Solve for x
    x = 790,878.97/794.03
  6. Step 6: Final answer
    x = 996.03

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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.