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Finding the Fourth Proportional to 797.22, 1,100.16 and 443.20

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Solution

The fourth proportional to 797.22, 1,100.16 and 443.20 is: 611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.22 : 1,100.16 = 443.20 : x
  2. Step 2: Convert to fraction form
    797.22/1,100.16 = 443.20/x
  3. Step 3: Cross multiply
    797.22x = 1,100.16 × 443.20
  4. Step 4: Simplify right side
    797.22x = 487,590.91
  5. Step 5: Solve for x
    x = 487,590.91/797.22
  6. Step 6: Final answer
    x = 611.61

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