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Finding the Fourth Proportional to 800.99, 1,199.21 and 540.52

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Solution

The fourth proportional to 800.99, 1,199.21 and 540.52 is: 809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.99 : 1,199.21 = 540.52 : x
  2. Step 2: Convert to fraction form
    800.99/1,199.21 = 540.52/x
  3. Step 3: Cross multiply
    800.99x = 1,199.21 × 540.52
  4. Step 4: Simplify right side
    800.99x = 648,198.03
  5. Step 5: Solve for x
    x = 648,198.03/800.99
  6. Step 6: Final answer
    x = 809.25

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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.