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Finding the Fourth Proportional to 689.74, 1,034.71 and 343.09

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Solution

The fourth proportional to 689.74, 1,034.71 and 343.09 is: 514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.74 : 1,034.71 = 343.09 : x
  2. Step 2: Convert to fraction form
    689.74/1,034.71 = 343.09/x
  3. Step 3: Cross multiply
    689.74x = 1,034.71 × 343.09
  4. Step 4: Simplify right side
    689.74x = 354,998.65
  5. Step 5: Solve for x
    x = 354,998.65/689.74
  6. Step 6: Final answer
    x = 514.68

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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.