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Finding the Fourth Proportional to 865.35, 1,192.73 and 668.61

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Solution

The fourth proportional to 865.35, 1,192.73 and 668.61 is: 921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.35 : 1,192.73 = 668.61 : x
  2. Step 2: Convert to fraction form
    865.35/1,192.73 = 668.61/x
  3. Step 3: Cross multiply
    865.35x = 1,192.73 × 668.61
  4. Step 4: Simplify right side
    865.35x = 797,467.86
  5. Step 5: Solve for x
    x = 797,467.86/865.35
  6. Step 6: Final answer
    x = 921.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.