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Finding the Fourth Proportional to 723.42, 1,086 and 480.42

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Solution

The fourth proportional to 723.42, 1,086 and 480.42 is: 721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.42 : 1,086 = 480.42 : x
  2. Step 2: Convert to fraction form
    723.42/1,086 = 480.42/x
  3. Step 3: Cross multiply
    723.42x = 1,086 × 480.42
  4. Step 4: Simplify right side
    723.42x = 521,736.12
  5. Step 5: Solve for x
    x = 521,736.12/723.42
  6. Step 6: Final answer
    x = 721.21

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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.