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Finding the Fourth Proportional to 969.18, 1,453.69 and 661.65

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Solution

The fourth proportional to 969.18, 1,453.69 and 661.65 is: 992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.18 : 1,453.69 = 661.65 : x
  2. Step 2: Convert to fraction form
    969.18/1,453.69 = 661.65/x
  3. Step 3: Cross multiply
    969.18x = 1,453.69 × 661.65
  4. Step 4: Simplify right side
    969.18x = 961,833.99
  5. Step 5: Solve for x
    x = 961,833.99/969.18
  6. Step 6: Final answer
    x = 992.42

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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.