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Finding the Fourth Proportional to 689.65, 1,034.13 and 227.38

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Solution

The fourth proportional to 689.65, 1,034.13 and 227.38 is: 340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.65 : 1,034.13 = 227.38 : x
  2. Step 2: Convert to fraction form
    689.65/1,034.13 = 227.38/x
  3. Step 3: Cross multiply
    689.65x = 1,034.13 × 227.38
  4. Step 4: Simplify right side
    689.65x = 235,140.48
  5. Step 5: Solve for x
    x = 235,140.48/689.65
  6. Step 6: Final answer
    x = 340.96

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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.