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Finding the Fourth Proportional to 969.57, 1,453.14 and 645.17

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Solution

The fourth proportional to 969.57, 1,453.14 and 645.17 is: 966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.57 : 1,453.14 = 645.17 : x
  2. Step 2: Convert to fraction form
    969.57/1,453.14 = 645.17/x
  3. Step 3: Cross multiply
    969.57x = 1,453.14 × 645.17
  4. Step 4: Simplify right side
    969.57x = 937,515.07
  5. Step 5: Solve for x
    x = 937,515.07/969.57
  6. Step 6: Final answer
    x = 966.94

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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.