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Finding the Fourth Proportional to 1,195.07, 1,796.68 and 1,097.83

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Solution

The fourth proportional to 1,195.07, 1,796.68 and 1,097.83 is: 1,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.07 : 1,796.68 = 1,097.83 : x
  2. Step 2: Convert to fraction form
    1,195.07/1,796.68 = 1,097.83/x
  3. Step 3: Cross multiply
    1,195.07x = 1,796.68 × 1,097.83
  4. Step 4: Simplify right side
    1,195.07x = 1,972,447.77
  5. Step 5: Solve for x
    x = 1,972,447.77/1,195.07
  6. Step 6: Final answer
    x = 1,650.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.