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Finding the Fourth Proportional to 797.33, 1,100.26 and 443.24

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Solution

The fourth proportional to 797.33, 1,100.26 and 443.24 is: 611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.33 : 1,100.26 = 443.24 : x
  2. Step 2: Convert to fraction form
    797.33/1,100.26 = 443.24/x
  3. Step 3: Cross multiply
    797.33x = 1,100.26 × 443.24
  4. Step 4: Simplify right side
    797.33x = 487,672.63
  5. Step 5: Solve for x
    x = 487,672.63/797.33
  6. Step 6: Final answer
    x = 611.63

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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.