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Finding the Fourth Proportional to 820.75, 1,230.52 and 496.04

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Solution

The fourth proportional to 820.75, 1,230.52 and 496.04 is: 743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.75 : 1,230.52 = 496.04 : x
  2. Step 2: Convert to fraction form
    820.75/1,230.52 = 496.04/x
  3. Step 3: Cross multiply
    820.75x = 1,230.52 × 496.04
  4. Step 4: Simplify right side
    820.75x = 610,388.98
  5. Step 5: Solve for x
    x = 610,388.98/820.75
  6. Step 6: Final answer
    x = 743.70

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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.