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Finding the Fourth Proportional to 1,197, 1,796.22 and 513

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Solution

The fourth proportional to 1,197, 1,796.22 and 513 is: 769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197 : 1,796.22 = 513 : x
  2. Step 2: Convert to fraction form
    1,197/1,796.22 = 513/x
  3. Step 3: Cross multiply
    1,197x = 1,796.22 × 513
  4. Step 4: Simplify right side
    1,197x = 921,460.86
  5. Step 5: Solve for x
    x = 921,460.86/1,197
  6. Step 6: Final answer
    x = 769.81

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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.