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Finding the Fourth Proportional to 1,093.33, 1,639.98 and 443.62

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Solution

The fourth proportional to 1,093.33, 1,639.98 and 443.62 is: 665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.33 : 1,639.98 = 443.62 : x
  2. Step 2: Convert to fraction form
    1,093.33/1,639.98 = 443.62/x
  3. Step 3: Cross multiply
    1,093.33x = 1,639.98 × 443.62
  4. Step 4: Simplify right side
    1,093.33x = 727,527.93
  5. Step 5: Solve for x
    x = 727,527.93/1,093.33
  6. Step 6: Final answer
    x = 665.42

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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.