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Finding the Fourth Proportional to 733.03, 1,099.41 and 385.27

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Solution

The fourth proportional to 733.03, 1,099.41 and 385.27 is: 577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.03 : 1,099.41 = 385.27 : x
  2. Step 2: Convert to fraction form
    733.03/1,099.41 = 385.27/x
  3. Step 3: Cross multiply
    733.03x = 1,099.41 × 385.27
  4. Step 4: Simplify right side
    733.03x = 423,569.69
  5. Step 5: Solve for x
    x = 423,569.69/733.03
  6. Step 6: Final answer
    x = 577.83

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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.