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Finding the Fourth Proportional to 1,196.26, 1,794.23 and 465.23

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Solution

The fourth proportional to 1,196.26, 1,794.23 and 465.23 is: 697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.26 : 1,794.23 = 465.23 : x
  2. Step 2: Convert to fraction form
    1,196.26/1,794.23 = 465.23/x
  3. Step 3: Cross multiply
    1,196.26x = 1,794.23 × 465.23
  4. Step 4: Simplify right side
    1,196.26x = 834,729.62
  5. Step 5: Solve for x
    x = 834,729.62/1,196.26
  6. Step 6: Final answer
    x = 697.78

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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.