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Finding the Fourth Proportional to 1,163.43, 1,606.46 and 931.59

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Solution

The fourth proportional to 1,163.43, 1,606.46 and 931.59 is: 1,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.43 : 1,606.46 = 931.59 : x
  2. Step 2: Convert to fraction form
    1,163.43/1,606.46 = 931.59/x
  3. Step 3: Cross multiply
    1,163.43x = 1,606.46 × 931.59
  4. Step 4: Simplify right side
    1,163.43x = 1,496,557.41
  5. Step 5: Solve for x
    x = 1,496,557.41/1,163.43
  6. Step 6: Final answer
    x = 1,286.33

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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.