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Finding the Fourth Proportional to 663.50, 997.68 and 636.77

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Solution

The fourth proportional to 663.50, 997.68 and 636.77 is: 957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.50 : 997.68 = 636.77 : x
  2. Step 2: Convert to fraction form
    663.50/997.68 = 636.77/x
  3. Step 3: Cross multiply
    663.50x = 997.68 × 636.77
  4. Step 4: Simplify right side
    663.50x = 635,287.71
  5. Step 5: Solve for x
    x = 635,287.71/663.50
  6. Step 6: Final answer
    x = 957.49

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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.