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Finding the Fourth Proportional to 791.24, 1,091.69 and 511.49

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Solution

The fourth proportional to 791.24, 1,091.69 and 511.49 is: 705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.24 : 1,091.69 = 511.49 : x
  2. Step 2: Convert to fraction form
    791.24/1,091.69 = 511.49/x
  3. Step 3: Cross multiply
    791.24x = 1,091.69 × 511.49
  4. Step 4: Simplify right side
    791.24x = 558,383.06
  5. Step 5: Solve for x
    x = 558,383.06/791.24
  6. Step 6: Final answer
    x = 705.71

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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.