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Finding the Fourth Proportional to 1,197.36, 1,796.31 and 331.74

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Solution

The fourth proportional to 1,197.36, 1,796.31 and 331.74 is: 497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.36 : 1,796.31 = 331.74 : x
  2. Step 2: Convert to fraction form
    1,197.36/1,796.31 = 331.74/x
  3. Step 3: Cross multiply
    1,197.36x = 1,796.31 × 331.74
  4. Step 4: Simplify right side
    1,197.36x = 595,907.88
  5. Step 5: Solve for x
    x = 595,907.88/1,197.36
  6. Step 6: Final answer
    x = 497.68

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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.