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Finding the Fourth Proportional to 865.94, 1,194.45 and 571.58

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Solution

The fourth proportional to 865.94, 1,194.45 and 571.58 is: 788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.94 : 1,194.45 = 571.58 : x
  2. Step 2: Convert to fraction form
    865.94/1,194.45 = 571.58/x
  3. Step 3: Cross multiply
    865.94x = 1,194.45 × 571.58
  4. Step 4: Simplify right side
    865.94x = 682,723.73
  5. Step 5: Solve for x
    x = 682,723.73/865.94
  6. Step 6: Final answer
    x = 788.42

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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.