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Finding the Fourth Proportional to 791.42, 1,091.99 and 459.68

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Solution

The fourth proportional to 791.42, 1,091.99 and 459.68 is: 634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.42 : 1,091.99 = 459.68 : x
  2. Step 2: Convert to fraction form
    791.42/1,091.99 = 459.68/x
  3. Step 3: Cross multiply
    791.42x = 1,091.99 × 459.68
  4. Step 4: Simplify right side
    791.42x = 501,959.07
  5. Step 5: Solve for x
    x = 501,959.07/791.42
  6. Step 6: Final answer
    x = 634.25

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