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Finding the Fourth Proportional to 800.44, 1,200.69 and 389.91

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Solution

The fourth proportional to 800.44, 1,200.69 and 389.91 is: 584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.44 : 1,200.69 = 389.91 : x
  2. Step 2: Convert to fraction form
    800.44/1,200.69 = 389.91/x
  3. Step 3: Cross multiply
    800.44x = 1,200.69 × 389.91
  4. Step 4: Simplify right side
    800.44x = 468,161.04
  5. Step 5: Solve for x
    x = 468,161.04/800.44
  6. Step 6: Final answer
    x = 584.88

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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.