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Finding the Fourth Proportional to 1,197.73, 1,796.39 and 331.84

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Solution

The fourth proportional to 1,197.73, 1,796.39 and 331.84 is: 497.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.73 : 1,796.39 = 331.84 : x
  2. Step 2: Convert to fraction form
    1,197.73/1,796.39 = 331.84/x
  3. Step 3: Cross multiply
    1,197.73x = 1,796.39 × 331.84
  4. Step 4: Simplify right side
    1,197.73x = 596,114.06
  5. Step 5: Solve for x
    x = 596,114.06/1,197.73
  6. Step 6: Final answer
    x = 497.70

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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.