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Finding the Fourth Proportional to 791.82, 1,187.80 and 381.06

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Solution

The fourth proportional to 791.82, 1,187.80 and 381.06 is: 571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.82 : 1,187.80 = 381.06 : x
  2. Step 2: Convert to fraction form
    791.82/1,187.80 = 381.06/x
  3. Step 3: Cross multiply
    791.82x = 1,187.80 × 381.06
  4. Step 4: Simplify right side
    791.82x = 452,622.12
  5. Step 5: Solve for x
    x = 452,622.12/791.82
  6. Step 6: Final answer
    x = 571.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.