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Finding the Fourth Proportional to 1,163.82, 1,606.83 and 722.37

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Solution

The fourth proportional to 1,163.82, 1,606.83 and 722.37 is: 997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.82 : 1,606.83 = 722.37 : x
  2. Step 2: Convert to fraction form
    1,163.82/1,606.83 = 722.37/x
  3. Step 3: Cross multiply
    1,163.82x = 1,606.83 × 722.37
  4. Step 4: Simplify right side
    1,163.82x = 1,160,725.79
  5. Step 5: Solve for x
    x = 1,160,725.79/1,163.82
  6. Step 6: Final answer
    x = 997.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.