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Finding the Fourth Proportional to 791.13, 1,187.04 and 329.03

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Solution

The fourth proportional to 791.13, 1,187.04 and 329.03 is: 493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.13 : 1,187.04 = 329.03 : x
  2. Step 2: Convert to fraction form
    791.13/1,187.04 = 329.03/x
  3. Step 3: Cross multiply
    791.13x = 1,187.04 × 329.03
  4. Step 4: Simplify right side
    791.13x = 390,565.84
  5. Step 5: Solve for x
    x = 390,565.84/791.13
  6. Step 6: Final answer
    x = 493.68

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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.