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Finding the Fourth Proportional to 797.09, 1,195.70 and 406.92

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Solution

The fourth proportional to 797.09, 1,195.70 and 406.92 is: 610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.09 : 1,195.70 = 406.92 : x
  2. Step 2: Convert to fraction form
    797.09/1,195.70 = 406.92/x
  3. Step 3: Cross multiply
    797.09x = 1,195.70 × 406.92
  4. Step 4: Simplify right side
    797.09x = 486,555.26
  5. Step 5: Solve for x
    x = 486,555.26/797.09
  6. Step 6: Final answer
    x = 610.42

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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.