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Finding the Fourth Proportional to 729.84, 1,096.36 and 441.48

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Solution

The fourth proportional to 729.84, 1,096.36 and 441.48 is: 663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.84 : 1,096.36 = 441.48 : x
  2. Step 2: Convert to fraction form
    729.84/1,096.36 = 441.48/x
  3. Step 3: Cross multiply
    729.84x = 1,096.36 × 441.48
  4. Step 4: Simplify right side
    729.84x = 484,021.01
  5. Step 5: Solve for x
    x = 484,021.01/729.84
  6. Step 6: Final answer
    x = 663.19

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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.