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Finding the Fourth Proportional to 791.83, 1,193.83 and 670.96

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Solution

The fourth proportional to 791.83, 1,193.83 and 670.96 is: 1,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.83 : 1,193.83 = 670.96 : x
  2. Step 2: Convert to fraction form
    791.83/1,193.83 = 670.96/x
  3. Step 3: Cross multiply
    791.83x = 1,193.83 × 670.96
  4. Step 4: Simplify right side
    791.83x = 801,012.18
  5. Step 5: Solve for x
    x = 801,012.18/791.83
  6. Step 6: Final answer
    x = 1,011.60

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