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Finding the Fourth Proportional to 835.82, 1,153.12 and 481.64

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Solution

The fourth proportional to 835.82, 1,153.12 and 481.64 is: 664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.82 : 1,153.12 = 481.64 : x
  2. Step 2: Convert to fraction form
    835.82/1,153.12 = 481.64/x
  3. Step 3: Cross multiply
    835.82x = 1,153.12 × 481.64
  4. Step 4: Simplify right side
    835.82x = 555,388.72
  5. Step 5: Solve for x
    x = 555,388.72/835.82
  6. Step 6: Final answer
    x = 664.48

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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.