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Finding the Fourth Proportional to 1,171.63, 1,757.34 and 997.87

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Solution

The fourth proportional to 1,171.63, 1,757.34 and 997.87 is: 1,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.63 : 1,757.34 = 997.87 : x
  2. Step 2: Convert to fraction form
    1,171.63/1,757.34 = 997.87/x
  3. Step 3: Cross multiply
    1,171.63x = 1,757.34 × 997.87
  4. Step 4: Simplify right side
    1,171.63x = 1,753,596.87
  5. Step 5: Solve for x
    x = 1,753,596.87/1,171.63
  6. Step 6: Final answer
    x = 1,496.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.