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Finding the Fourth Proportional to 800, 1,199.28 and 491.84

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Solution

The fourth proportional to 800, 1,199.28 and 491.84 is: 737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    800 : 1,199.28 = 491.84 : x
  2. Step 2: Convert to fraction form
    800/1,199.28 = 491.84/x
  3. Step 3: Cross multiply
    800x = 1,199.28 × 491.84
  4. Step 4: Simplify right side
    800x = 589,853.88
  5. Step 5: Solve for x
    x = 589,853.88/800
  6. Step 6: Final answer
    x = 737.32

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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.