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Finding the Fourth Proportional to 733.63, 1,100.54 and 239.87

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Solution

The fourth proportional to 733.63, 1,100.54 and 239.87 is: 359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.63 : 1,100.54 = 239.87 : x
  2. Step 2: Convert to fraction form
    733.63/1,100.54 = 239.87/x
  3. Step 3: Cross multiply
    733.63x = 1,100.54 × 239.87
  4. Step 4: Simplify right side
    733.63x = 263,982.66
  5. Step 5: Solve for x
    x = 263,982.66/733.63
  6. Step 6: Final answer
    x = 359.83

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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.