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Finding the Fourth Proportional to 796.88, 1,098.56 and 620.08

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Solution

The fourth proportional to 796.88, 1,098.56 and 620.08 is: 854.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.88 : 1,098.56 = 620.08 : x
  2. Step 2: Convert to fraction form
    796.88/1,098.56 = 620.08/x
  3. Step 3: Cross multiply
    796.88x = 1,098.56 × 620.08
  4. Step 4: Simplify right side
    796.88x = 681,195.08
  5. Step 5: Solve for x
    x = 681,195.08/796.88
  6. Step 6: Final answer
    x = 854.83

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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.