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Finding the Fourth Proportional to 1,197.78, 1,796.39 and 504.47

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Solution

The fourth proportional to 1,197.78, 1,796.39 and 504.47 is: 756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.78 : 1,796.39 = 504.47 : x
  2. Step 2: Convert to fraction form
    1,197.78/1,796.39 = 504.47/x
  3. Step 3: Cross multiply
    1,197.78x = 1,796.39 × 504.47
  4. Step 4: Simplify right side
    1,197.78x = 906,213.36
  5. Step 5: Solve for x
    x = 906,213.36/1,197.78
  6. Step 6: Final answer
    x = 756.58

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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.