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Finding the Fourth Proportional to 689.11, 1,033.65 and 324.16

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Solution

The fourth proportional to 689.11, 1,033.65 and 324.16 is: 486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.11 : 1,033.65 = 324.16 : x
  2. Step 2: Convert to fraction form
    689.11/1,033.65 = 324.16/x
  3. Step 3: Cross multiply
    689.11x = 1,033.65 × 324.16
  4. Step 4: Simplify right side
    689.11x = 335,065.40
  5. Step 5: Solve for x
    x = 335,065.40/689.11
  6. Step 6: Final answer
    x = 486.23

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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.