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Finding the Fourth Proportional to 968.56, 1,450.23 and 772.63

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Solution

The fourth proportional to 968.56, 1,450.23 and 772.63 is: 1,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.56 : 1,450.23 = 772.63 : x
  2. Step 2: Convert to fraction form
    968.56/1,450.23 = 772.63/x
  3. Step 3: Cross multiply
    968.56x = 1,450.23 × 772.63
  4. Step 4: Simplify right side
    968.56x = 1,120,491.20
  5. Step 5: Solve for x
    x = 1,120,491.20/968.56
  6. Step 6: Final answer
    x = 1,156.86

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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.