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Finding the Fourth Proportional to 694.86, 963.88 and 657.96

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Solution

The fourth proportional to 694.86, 963.88 and 657.96 is: 912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.86 : 963.88 = 657.96 : x
  2. Step 2: Convert to fraction form
    694.86/963.88 = 657.96/x
  3. Step 3: Cross multiply
    694.86x = 963.88 × 657.96
  4. Step 4: Simplify right side
    694.86x = 634,194.48
  5. Step 5: Solve for x
    x = 634,194.48/694.86
  6. Step 6: Final answer
    x = 912.69

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.