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Finding the Fourth Proportional to 791.84, 1,183.22 and 571.40

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Solution

The fourth proportional to 791.84, 1,183.22 and 571.40 is: 853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.84 : 1,183.22 = 571.40 : x
  2. Step 2: Convert to fraction form
    791.84/1,183.22 = 571.40/x
  3. Step 3: Cross multiply
    791.84x = 1,183.22 × 571.40
  4. Step 4: Simplify right side
    791.84x = 676,091.91
  5. Step 5: Solve for x
    x = 676,091.91/791.84
  6. Step 6: Final answer
    x = 853.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.