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Finding the Fourth Proportional to 797.71, 1,196.59 and 220.59

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Solution

The fourth proportional to 797.71, 1,196.59 and 220.59 is: 330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.71 : 1,196.59 = 220.59 : x
  2. Step 2: Convert to fraction form
    797.71/1,196.59 = 220.59/x
  3. Step 3: Cross multiply
    797.71x = 1,196.59 × 220.59
  4. Step 4: Simplify right side
    797.71x = 263,949.81
  5. Step 5: Solve for x
    x = 263,949.81/797.71
  6. Step 6: Final answer
    x = 330.88

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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.