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Finding the Fourth Proportional to 920.67, 1,268.06 and 796.33

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Solution

The fourth proportional to 920.67, 1,268.06 and 796.33 is: 1,096.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.67 : 1,268.06 = 796.33 : x
  2. Step 2: Convert to fraction form
    920.67/1,268.06 = 796.33/x
  3. Step 3: Cross multiply
    920.67x = 1,268.06 × 796.33
  4. Step 4: Simplify right side
    920.67x = 1,009,791.82
  5. Step 5: Solve for x
    x = 1,009,791.82/920.67
  6. Step 6: Final answer
    x = 1,096.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.