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Finding the Fourth Proportional to 968.56, 1,450.26 and 661.02

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Solution

The fourth proportional to 968.56, 1,450.26 and 661.02 is: 989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.56 : 1,450.26 = 661.02 : x
  2. Step 2: Convert to fraction form
    968.56/1,450.26 = 661.02/x
  3. Step 3: Cross multiply
    968.56x = 1,450.26 × 661.02
  4. Step 4: Simplify right side
    968.56x = 958,650.87
  5. Step 5: Solve for x
    x = 958,650.87/968.56
  6. Step 6: Final answer
    x = 989.77

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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.