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Finding the Fourth Proportional to 797.45, 1,193.17 and 716.52

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Solution

The fourth proportional to 797.45, 1,193.17 and 716.52 is: 1,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.45 : 1,193.17 = 716.52 : x
  2. Step 2: Convert to fraction form
    797.45/1,193.17 = 716.52/x
  3. Step 3: Cross multiply
    797.45x = 1,193.17 × 716.52
  4. Step 4: Simplify right side
    797.45x = 854,924.80
  5. Step 5: Solve for x
    x = 854,924.80/797.45
  6. Step 6: Final answer
    x = 1,072.07

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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.