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Finding the Fourth Proportional to 791.59, 1,187.63 and 380.75

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Solution

The fourth proportional to 791.59, 1,187.63 and 380.75 is: 571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.59 : 1,187.63 = 380.75 : x
  2. Step 2: Convert to fraction form
    791.59/1,187.63 = 380.75/x
  3. Step 3: Cross multiply
    791.59x = 1,187.63 × 380.75
  4. Step 4: Simplify right side
    791.59x = 452,194.04
  5. Step 5: Solve for x
    x = 452,194.04/791.59
  6. Step 6: Final answer
    x = 571.25

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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.