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Finding the Fourth Proportional to 733.99, 1,013.23 and 439.21

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Solution

The fourth proportional to 733.99, 1,013.23 and 439.21 is: 606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.99 : 1,013.23 = 439.21 : x
  2. Step 2: Convert to fraction form
    733.99/1,013.23 = 439.21/x
  3. Step 3: Cross multiply
    733.99x = 1,013.23 × 439.21
  4. Step 4: Simplify right side
    733.99x = 445,014.58
  5. Step 5: Solve for x
    x = 445,014.58/733.99
  6. Step 6: Final answer
    x = 606.29

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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.