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Finding the Fourth Proportional to 1,109.69, 1,663.21 and 799.86

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Solution

The fourth proportional to 1,109.69, 1,663.21 and 799.86 is: 1,198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.69 : 1,663.21 = 799.86 : x
  2. Step 2: Convert to fraction form
    1,109.69/1,663.21 = 799.86/x
  3. Step 3: Cross multiply
    1,109.69x = 1,663.21 × 799.86
  4. Step 4: Simplify right side
    1,109.69x = 1,330,335.15
  5. Step 5: Solve for x
    x = 1,330,335.15/1,109.69
  6. Step 6: Final answer
    x = 1,198.83

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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.