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Finding the Fourth Proportional to 689.21, 1,033.97 and 324.41

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Solution

The fourth proportional to 689.21, 1,033.97 and 324.41 is: 486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.21 : 1,033.97 = 324.41 : x
  2. Step 2: Convert to fraction form
    689.21/1,033.97 = 324.41/x
  3. Step 3: Cross multiply
    689.21x = 1,033.97 × 324.41
  4. Step 4: Simplify right side
    689.21x = 335,423.42
  5. Step 5: Solve for x
    x = 335,423.42/689.21
  6. Step 6: Final answer
    x = 486.68

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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.