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Finding the Fourth Proportional to 797.73, 1,196.44 and 220.47

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Solution

The fourth proportional to 797.73, 1,196.44 and 220.47 is: 330.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.73 : 1,196.44 = 220.47 : x
  2. Step 2: Convert to fraction form
    797.73/1,196.44 = 220.47/x
  3. Step 3: Cross multiply
    797.73x = 1,196.44 × 220.47
  4. Step 4: Simplify right side
    797.73x = 263,779.13
  5. Step 5: Solve for x
    x = 263,779.13/797.73
  6. Step 6: Final answer
    x = 330.66

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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.