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Finding the Fourth Proportional to 1,163.77, 1,742.04 and 997.68

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Solution

The fourth proportional to 1,163.77, 1,742.04 and 997.68 is: 1,493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.77 : 1,742.04 = 997.68 : x
  2. Step 2: Convert to fraction form
    1,163.77/1,742.04 = 997.68/x
  3. Step 3: Cross multiply
    1,163.77x = 1,742.04 × 997.68
  4. Step 4: Simplify right side
    1,163.77x = 1,738,005.00
  5. Step 5: Solve for x
    x = 1,738,005.00/1,163.77
  6. Step 6: Final answer
    x = 1,493.43

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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.