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Finding the Fourth Proportional to 799.69, 1,196.99 and 452.00

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Solution

The fourth proportional to 799.69, 1,196.99 and 452.00 is: 676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.69 : 1,196.99 = 452.00 : x
  2. Step 2: Convert to fraction form
    799.69/1,196.99 = 452.00/x
  3. Step 3: Cross multiply
    799.69x = 1,196.99 × 452.00
  4. Step 4: Simplify right side
    799.69x = 541,037.72
  5. Step 5: Solve for x
    x = 541,037.72/799.69
  6. Step 6: Final answer
    x = 676.56

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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.