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Finding the Fourth Proportional to 960.29, 1,324.68 and 645.02

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Solution

The fourth proportional to 960.29, 1,324.68 and 645.02 is: 889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.29 : 1,324.68 = 645.02 : x
  2. Step 2: Convert to fraction form
    960.29/1,324.68 = 645.02/x
  3. Step 3: Cross multiply
    960.29x = 1,324.68 × 645.02
  4. Step 4: Simplify right side
    960.29x = 854,438.47
  5. Step 5: Solve for x
    x = 854,438.47/960.29
  6. Step 6: Final answer
    x = 889.78

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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.