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Finding the Fourth Proportional to 799.45, 1,198.95 and 506.52

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Solution

The fourth proportional to 799.45, 1,198.95 and 506.52 is: 759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.45 : 1,198.95 = 506.52 : x
  2. Step 2: Convert to fraction form
    799.45/1,198.95 = 506.52/x
  3. Step 3: Cross multiply
    799.45x = 1,198.95 × 506.52
  4. Step 4: Simplify right side
    799.45x = 607,290.25
  5. Step 5: Solve for x
    x = 607,290.25/799.45
  6. Step 6: Final answer
    x = 759.64

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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.