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Finding the Fourth Proportional to 1,198.69, 1,794.56 and 735.07

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Solution

The fourth proportional to 1,198.69, 1,794.56 and 735.07 is: 1,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.69 : 1,794.56 = 735.07 : x
  2. Step 2: Convert to fraction form
    1,198.69/1,794.56 = 735.07/x
  3. Step 3: Cross multiply
    1,198.69x = 1,794.56 × 735.07
  4. Step 4: Simplify right side
    1,198.69x = 1,319,123.54
  5. Step 5: Solve for x
    x = 1,319,123.54/1,198.69
  6. Step 6: Final answer
    x = 1,100.47

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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.