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Finding the Fourth Proportional to 1,196.01, 1,794.37 and 426.57

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Solution

The fourth proportional to 1,196.01, 1,794.37 and 426.57 is: 639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.01 : 1,794.37 = 426.57 : x
  2. Step 2: Convert to fraction form
    1,196.01/1,794.37 = 426.57/x
  3. Step 3: Cross multiply
    1,196.01x = 1,794.37 × 426.57
  4. Step 4: Simplify right side
    1,196.01x = 765,413.31
  5. Step 5: Solve for x
    x = 765,413.31/1,196.01
  6. Step 6: Final answer
    x = 639.98

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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.