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Finding the Fourth Proportional to 687.40, 949.64 and 635.56

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Solution

The fourth proportional to 687.40, 949.64 and 635.56 is: 878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.40 : 949.64 = 635.56 : x
  2. Step 2: Convert to fraction form
    687.40/949.64 = 635.56/x
  3. Step 3: Cross multiply
    687.40x = 949.64 × 635.56
  4. Step 4: Simplify right side
    687.40x = 603,553.20
  5. Step 5: Solve for x
    x = 603,553.20/687.40
  6. Step 6: Final answer
    x = 878.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.