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Finding the Fourth Proportional to 1,199.97, 1,799.34 and 550.16

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Solution

The fourth proportional to 1,199.97, 1,799.34 and 550.16 is: 824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.97 : 1,799.34 = 550.16 : x
  2. Step 2: Convert to fraction form
    1,199.97/1,799.34 = 550.16/x
  3. Step 3: Cross multiply
    1,199.97x = 1,799.34 × 550.16
  4. Step 4: Simplify right side
    1,199.97x = 989,915.90
  5. Step 5: Solve for x
    x = 989,915.90/1,199.97
  6. Step 6: Final answer
    x = 824.95

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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.