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Finding the Fourth Proportional to 796.20, 1,097.46 and 621.24

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Solution

The fourth proportional to 796.20, 1,097.46 and 621.24 is: 856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.20 : 1,097.46 = 621.24 : x
  2. Step 2: Convert to fraction form
    796.20/1,097.46 = 621.24/x
  3. Step 3: Cross multiply
    796.20x = 1,097.46 × 621.24
  4. Step 4: Simplify right side
    796.20x = 681,786.05
  5. Step 5: Solve for x
    x = 681,786.05/796.20
  6. Step 6: Final answer
    x = 856.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.