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Finding the Fourth Proportional to 1,197.56, 1,796.06 and 649.46

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Solution

The fourth proportional to 1,197.56, 1,796.06 and 649.46 is: 974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.56 : 1,796.06 = 649.46 : x
  2. Step 2: Convert to fraction form
    1,197.56/1,796.06 = 649.46/x
  3. Step 3: Cross multiply
    1,197.56x = 1,796.06 × 649.46
  4. Step 4: Simplify right side
    1,197.56x = 1,166,469.13
  5. Step 5: Solve for x
    x = 1,166,469.13/1,197.56
  6. Step 6: Final answer
    x = 974.04

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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.