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Finding the Fourth Proportional to 906.87, 1,250.94 and 686.67

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Solution

The fourth proportional to 906.87, 1,250.94 and 686.67 is: 947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.87 : 1,250.94 = 686.67 : x
  2. Step 2: Convert to fraction form
    906.87/1,250.94 = 686.67/x
  3. Step 3: Cross multiply
    906.87x = 1,250.94 × 686.67
  4. Step 4: Simplify right side
    906.87x = 858,982.97
  5. Step 5: Solve for x
    x = 858,982.97/906.87
  6. Step 6: Final answer
    x = 947.20

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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.