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Finding the Fourth Proportional to 968.73, 1,451.79 and 505.53

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Solution

The fourth proportional to 968.73, 1,451.79 and 505.53 is: 757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.73 : 1,451.79 = 505.53 : x
  2. Step 2: Convert to fraction form
    968.73/1,451.79 = 505.53/x
  3. Step 3: Cross multiply
    968.73x = 1,451.79 × 505.53
  4. Step 4: Simplify right side
    968.73x = 733,923.40
  5. Step 5: Solve for x
    x = 733,923.40/968.73
  6. Step 6: Final answer
    x = 757.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.