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Finding the Fourth Proportional to 687.57, 1,029.42 and 622.70

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Solution

The fourth proportional to 687.57, 1,029.42 and 622.70 is: 932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.57 : 1,029.42 = 622.70 : x
  2. Step 2: Convert to fraction form
    687.57/1,029.42 = 622.70/x
  3. Step 3: Cross multiply
    687.57x = 1,029.42 × 622.70
  4. Step 4: Simplify right side
    687.57x = 641,011.57
  5. Step 5: Solve for x
    x = 641,011.57/687.57
  6. Step 6: Final answer
    x = 932.29

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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.