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Finding the Fourth Proportional to 684.96, 950.82 and 641.76

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Solution

The fourth proportional to 684.96, 950.82 and 641.76 is: 890.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.96 : 950.82 = 641.76 : x
  2. Step 2: Convert to fraction form
    684.96/950.82 = 641.76/x
  3. Step 3: Cross multiply
    684.96x = 950.82 × 641.76
  4. Step 4: Simplify right side
    684.96x = 610,198.24
  5. Step 5: Solve for x
    x = 610,198.24/684.96
  6. Step 6: Final answer
    x = 890.85

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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.