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Finding the Fourth Proportional to 797.85, 1,196.31 and 709.02

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Solution

The fourth proportional to 797.85, 1,196.31 and 709.02 is: 1,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.85 : 1,196.31 = 709.02 : x
  2. Step 2: Convert to fraction form
    797.85/1,196.31 = 709.02/x
  3. Step 3: Cross multiply
    797.85x = 1,196.31 × 709.02
  4. Step 4: Simplify right side
    797.85x = 848,207.72
  5. Step 5: Solve for x
    x = 848,207.72/797.85
  6. Step 6: Final answer
    x = 1,063.12

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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.