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Finding the Fourth Proportional to 688.57, 1,033.29 and 441.97

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Solution

The fourth proportional to 688.57, 1,033.29 and 441.97 is: 663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.57 : 1,033.29 = 441.97 : x
  2. Step 2: Convert to fraction form
    688.57/1,033.29 = 441.97/x
  3. Step 3: Cross multiply
    688.57x = 1,033.29 × 441.97
  4. Step 4: Simplify right side
    688.57x = 456,680.60
  5. Step 5: Solve for x
    x = 456,680.60/688.57
  6. Step 6: Final answer
    x = 663.23

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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.