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Finding the Fourth Proportional to 800.25, 1,199.01 and 567.99

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Solution

The fourth proportional to 800.25, 1,199.01 and 567.99 is: 851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.25 : 1,199.01 = 567.99 : x
  2. Step 2: Convert to fraction form
    800.25/1,199.01 = 567.99/x
  3. Step 3: Cross multiply
    800.25x = 1,199.01 × 567.99
  4. Step 4: Simplify right side
    800.25x = 681,025.69
  5. Step 5: Solve for x
    x = 681,025.69/800.25
  6. Step 6: Final answer
    x = 851.02

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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.