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Finding the Fourth Proportional to 969.56, 1,453.29 and 640.73

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Solution

The fourth proportional to 969.56, 1,453.29 and 640.73 is: 960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.56 : 1,453.29 = 640.73 : x
  2. Step 2: Convert to fraction form
    969.56/1,453.29 = 640.73/x
  3. Step 3: Cross multiply
    969.56x = 1,453.29 × 640.73
  4. Step 4: Simplify right side
    969.56x = 931,159.24
  5. Step 5: Solve for x
    x = 931,159.24/969.56
  6. Step 6: Final answer
    x = 960.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.