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Finding the Fourth Proportional to 865.94, 1,195.11 and 571.82

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Solution

The fourth proportional to 865.94, 1,195.11 and 571.82 is: 789.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.94 : 1,195.11 = 571.82 : x
  2. Step 2: Convert to fraction form
    865.94/1,195.11 = 571.82/x
  3. Step 3: Cross multiply
    865.94x = 1,195.11 × 571.82
  4. Step 4: Simplify right side
    865.94x = 683,384.94
  5. Step 5: Solve for x
    x = 683,384.94/865.94
  6. Step 6: Final answer
    x = 789.18

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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.