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Finding the Fourth Proportional to 797.90, 1,197.11 and 412.88

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Solution

The fourth proportional to 797.90, 1,197.11 and 412.88 is: 619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.90 : 1,197.11 = 412.88 : x
  2. Step 2: Convert to fraction form
    797.90/1,197.11 = 412.88/x
  3. Step 3: Cross multiply
    797.90x = 1,197.11 × 412.88
  4. Step 4: Simplify right side
    797.90x = 494,257.82
  5. Step 5: Solve for x
    x = 494,257.82/797.90
  6. Step 6: Final answer
    x = 619.45

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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.