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Finding the Fourth Proportional to 1,163.68, 1,739.12 and 1,096.25

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Solution

The fourth proportional to 1,163.68, 1,739.12 and 1,096.25 is: 1,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.68 : 1,739.12 = 1,096.25 : x
  2. Step 2: Convert to fraction form
    1,163.68/1,739.12 = 1,096.25/x
  3. Step 3: Cross multiply
    1,163.68x = 1,739.12 × 1,096.25
  4. Step 4: Simplify right side
    1,163.68x = 1,906,504.82
  5. Step 5: Solve for x
    x = 1,906,504.82/1,163.68
  6. Step 6: Final answer
    x = 1,638.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.