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Finding the Fourth Proportional to 689.65, 1,034.07 and 342.97

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Solution

The fourth proportional to 689.65, 1,034.07 and 342.97 is: 514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.65 : 1,034.07 = 342.97 : x
  2. Step 2: Convert to fraction form
    689.65/1,034.07 = 342.97/x
  3. Step 3: Cross multiply
    689.65x = 1,034.07 × 342.97
  4. Step 4: Simplify right side
    689.65x = 354,654.99
  5. Step 5: Solve for x
    x = 354,654.99/689.65
  6. Step 6: Final answer
    x = 514.25

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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.