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Finding the Fourth Proportional to 799.69, 1,197.48 and 452.51

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Solution

The fourth proportional to 799.69, 1,197.48 and 452.51 is: 677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.69 : 1,197.48 = 452.51 : x
  2. Step 2: Convert to fraction form
    799.69/1,197.48 = 452.51/x
  3. Step 3: Cross multiply
    799.69x = 1,197.48 × 452.51
  4. Step 4: Simplify right side
    799.69x = 541,865.69
  5. Step 5: Solve for x
    x = 541,865.69/799.69
  6. Step 6: Final answer
    x = 677.60

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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.