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Finding the Fourth Proportional to 797.25, 1,100.22 and 443.18

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Solution

The fourth proportional to 797.25, 1,100.22 and 443.18 is: 611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.25 : 1,100.22 = 443.18 : x
  2. Step 2: Convert to fraction form
    797.25/1,100.22 = 443.18/x
  3. Step 3: Cross multiply
    797.25x = 1,100.22 × 443.18
  4. Step 4: Simplify right side
    797.25x = 487,596.59
  5. Step 5: Solve for x
    x = 487,596.59/797.25
  6. Step 6: Final answer
    x = 611.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.