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Finding the Fourth Proportional to 797.20, 1,195.79 and 328.57

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Solution

The fourth proportional to 797.20, 1,195.79 and 328.57 is: 492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.20 : 1,195.79 = 328.57 : x
  2. Step 2: Convert to fraction form
    797.20/1,195.79 = 328.57/x
  3. Step 3: Cross multiply
    797.20x = 1,195.79 × 328.57
  4. Step 4: Simplify right side
    797.20x = 392,899.08
  5. Step 5: Solve for x
    x = 392,899.08/797.20
  6. Step 6: Final answer
    x = 492.85

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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.