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Finding the Fourth Proportional to 687.56, 940.64 and 684.62

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Solution

The fourth proportional to 687.56, 940.64 and 684.62 is: 936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.56 : 940.64 = 684.62 : x
  2. Step 2: Convert to fraction form
    687.56/940.64 = 684.62/x
  3. Step 3: Cross multiply
    687.56x = 940.64 × 684.62
  4. Step 4: Simplify right side
    687.56x = 643,980.96
  5. Step 5: Solve for x
    x = 643,980.96/687.56
  6. Step 6: Final answer
    x = 936.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.