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Finding the Fourth Proportional to 689.14, 1,033.70 and 169.14

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Solution

The fourth proportional to 689.14, 1,033.70 and 169.14 is: 253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.14 : 1,033.70 = 169.14 : x
  2. Step 2: Convert to fraction form
    689.14/1,033.70 = 169.14/x
  3. Step 3: Cross multiply
    689.14x = 1,033.70 × 169.14
  4. Step 4: Simplify right side
    689.14x = 174,843.05
  5. Step 5: Solve for x
    x = 174,843.05/689.14
  6. Step 6: Final answer
    x = 253.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.