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Finding the Fourth Proportional to 689.17, 1,033.53 and 226.84

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Solution

The fourth proportional to 689.17, 1,033.53 and 226.84 is: 340.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.17 : 1,033.53 = 226.84 : x
  2. Step 2: Convert to fraction form
    689.17/1,033.53 = 226.84/x
  3. Step 3: Cross multiply
    689.17x = 1,033.53 × 226.84
  4. Step 4: Simplify right side
    689.17x = 234,440.57
  5. Step 5: Solve for x
    x = 234,440.57/689.17
  6. Step 6: Final answer
    x = 340.18

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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.