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Finding the Fourth Proportional to 1,163.82, 1,606.13 and 721.71

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Solution

The fourth proportional to 1,163.82, 1,606.13 and 721.71 is: 996.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.82 : 1,606.13 = 721.71 : x
  2. Step 2: Convert to fraction form
    1,163.82/1,606.13 = 721.71/x
  3. Step 3: Cross multiply
    1,163.82x = 1,606.13 × 721.71
  4. Step 4: Simplify right side
    1,163.82x = 1,159,159.18
  5. Step 5: Solve for x
    x = 1,159,159.18/1,163.82
  6. Step 6: Final answer
    x = 996.00

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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.