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Finding the Fourth Proportional to 666.53, 998.06 and 481.42

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Solution

The fourth proportional to 666.53, 998.06 and 481.42 is: 720.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.53 : 998.06 = 481.42 : x
  2. Step 2: Convert to fraction form
    666.53/998.06 = 481.42/x
  3. Step 3: Cross multiply
    666.53x = 998.06 × 481.42
  4. Step 4: Simplify right side
    666.53x = 480,486.05
  5. Step 5: Solve for x
    x = 480,486.05/666.53
  6. Step 6: Final answer
    x = 720.88

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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.