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Finding the Fourth Proportional to 1,197.38, 1,796.07 and 649.82

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Solution

The fourth proportional to 1,197.38, 1,796.07 and 649.82 is: 974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.38 : 1,796.07 = 649.82 : x
  2. Step 2: Convert to fraction form
    1,197.38/1,796.07 = 649.82/x
  3. Step 3: Cross multiply
    1,197.38x = 1,796.07 × 649.82
  4. Step 4: Simplify right side
    1,197.38x = 1,167,129.13
  5. Step 5: Solve for x
    x = 1,167,129.13/1,197.38
  6. Step 6: Final answer
    x = 974.73

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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.