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Finding the Fourth Proportional to 968.72, 1,451.78 and 505.54

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Solution

The fourth proportional to 968.72, 1,451.78 and 505.54 is: 757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.72 : 1,451.78 = 505.54 : x
  2. Step 2: Convert to fraction form
    968.72/1,451.78 = 505.54/x
  3. Step 3: Cross multiply
    968.72x = 1,451.78 × 505.54
  4. Step 4: Simplify right side
    968.72x = 733,932.86
  5. Step 5: Solve for x
    x = 733,932.86/968.72
  6. Step 6: Final answer
    x = 757.63

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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.