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Finding the Fourth Proportional to 797.83, 1,196.31 and 537.82

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Solution

The fourth proportional to 797.83, 1,196.31 and 537.82 is: 806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.83 : 1,196.31 = 537.82 : x
  2. Step 2: Convert to fraction form
    797.83/1,196.31 = 537.82/x
  3. Step 3: Cross multiply
    797.83x = 1,196.31 × 537.82
  4. Step 4: Simplify right side
    797.83x = 643,399.44
  5. Step 5: Solve for x
    x = 643,399.44/797.83
  6. Step 6: Final answer
    x = 806.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.