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Finding the Fourth Proportional to 797.40, 1,197.92 and 668

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Solution

The fourth proportional to 797.40, 1,197.92 and 668 is: 1,003.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.40 : 1,197.92 = 668 : x
  2. Step 2: Convert to fraction form
    797.40/1,197.92 = 668/x
  3. Step 3: Cross multiply
    797.40x = 1,197.92 × 668
  4. Step 4: Simplify right side
    797.40x = 800,210.56
  5. Step 5: Solve for x
    x = 800,210.56/797.40
  6. Step 6: Final answer
    x = 1,003.52

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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.