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Finding the Fourth Proportional to 686, 946.67 and 391.21

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Solution

The fourth proportional to 686, 946.67 and 391.21 is: 539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    686 : 946.67 = 391.21 : x
  2. Step 2: Convert to fraction form
    686/946.67 = 391.21/x
  3. Step 3: Cross multiply
    686x = 946.67 × 391.21
  4. Step 4: Simplify right side
    686x = 370,346.77
  5. Step 5: Solve for x
    x = 370,346.77/686
  6. Step 6: Final answer
    x = 539.86

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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.