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Finding the Fourth Proportional to 689.72, 1,034.72 and 227.36

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Solution

The fourth proportional to 689.72, 1,034.72 and 227.36 is: 341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.72 : 1,034.72 = 227.36 : x
  2. Step 2: Convert to fraction form
    689.72/1,034.72 = 227.36/x
  3. Step 3: Cross multiply
    689.72x = 1,034.72 × 227.36
  4. Step 4: Simplify right side
    689.72x = 235,253.94
  5. Step 5: Solve for x
    x = 235,253.94/689.72
  6. Step 6: Final answer
    x = 341.09

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