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Finding the Fourth Proportional to 865.16, 1,297.74 and 481.22

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Solution

The fourth proportional to 865.16, 1,297.74 and 481.22 is: 721.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.16 : 1,297.74 = 481.22 : x
  2. Step 2: Convert to fraction form
    865.16/1,297.74 = 481.22/x
  3. Step 3: Cross multiply
    865.16x = 1,297.74 × 481.22
  4. Step 4: Simplify right side
    865.16x = 624,498.44
  5. Step 5: Solve for x
    x = 624,498.44/865.16
  6. Step 6: Final answer
    x = 721.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.