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Finding the Fourth Proportional to 797.82, 1,198.29 and 616.50

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Solution

The fourth proportional to 797.82, 1,198.29 and 616.50 is: 925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.82 : 1,198.29 = 616.50 : x
  2. Step 2: Convert to fraction form
    797.82/1,198.29 = 616.50/x
  3. Step 3: Cross multiply
    797.82x = 1,198.29 × 616.50
  4. Step 4: Simplify right side
    797.82x = 738,745.79
  5. Step 5: Solve for x
    x = 738,745.79/797.82
  6. Step 6: Final answer
    x = 925.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.