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Finding the Fourth Proportional to 799.54, 1,197.29 and 506.15

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Solution

The fourth proportional to 799.54, 1,197.29 and 506.15 is: 757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.54 : 1,197.29 = 506.15 : x
  2. Step 2: Convert to fraction form
    799.54/1,197.29 = 506.15/x
  3. Step 3: Cross multiply
    799.54x = 1,197.29 × 506.15
  4. Step 4: Simplify right side
    799.54x = 606,008.33
  5. Step 5: Solve for x
    x = 606,008.33/799.54
  6. Step 6: Final answer
    x = 757.95

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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.