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Finding the Fourth Proportional to 1,195.97, 1,794.42 and 416.06

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Solution

The fourth proportional to 1,195.97, 1,794.42 and 416.06 is: 624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.97 : 1,794.42 = 416.06 : x
  2. Step 2: Convert to fraction form
    1,195.97/1,794.42 = 416.06/x
  3. Step 3: Cross multiply
    1,195.97x = 1,794.42 × 416.06
  4. Step 4: Simplify right side
    1,195.97x = 746,575.33
  5. Step 5: Solve for x
    x = 746,575.33/1,195.97
  6. Step 6: Final answer
    x = 624.24

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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.