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Finding the Fourth Proportional to 689.62, 1,034.46 and 324.15

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Solution

The fourth proportional to 689.62, 1,034.46 and 324.15 is: 486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.62 : 1,034.46 = 324.15 : x
  2. Step 2: Convert to fraction form
    689.62/1,034.46 = 324.15/x
  3. Step 3: Cross multiply
    689.62x = 1,034.46 × 324.15
  4. Step 4: Simplify right side
    689.62x = 335,324.09
  5. Step 5: Solve for x
    x = 335,324.09/689.62
  6. Step 6: Final answer
    x = 486.24

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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.