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Finding the Fourth Proportional to 687.88, 948.67 and 684.42

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Solution

The fourth proportional to 687.88, 948.67 and 684.42 is: 943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.88 : 948.67 = 684.42 : x
  2. Step 2: Convert to fraction form
    687.88/948.67 = 684.42/x
  3. Step 3: Cross multiply
    687.88x = 948.67 × 684.42
  4. Step 4: Simplify right side
    687.88x = 649,288.72
  5. Step 5: Solve for x
    x = 649,288.72/687.88
  6. Step 6: Final answer
    x = 943.90

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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.