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Finding the Fourth Proportional to 1,163.63, 1,606.14 and 721.31

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Solution

The fourth proportional to 1,163.63, 1,606.14 and 721.31 is: 995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.63 : 1,606.14 = 721.31 : x
  2. Step 2: Convert to fraction form
    1,163.63/1,606.14 = 721.31/x
  3. Step 3: Cross multiply
    1,163.63x = 1,606.14 × 721.31
  4. Step 4: Simplify right side
    1,163.63x = 1,158,524.84
  5. Step 5: Solve for x
    x = 1,158,524.84/1,163.63
  6. Step 6: Final answer
    x = 995.61

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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.