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Finding the Fourth Proportional to 766.73, 1,150.09 and 506.67

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Solution

The fourth proportional to 766.73, 1,150.09 and 506.67 is: 760.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.73 : 1,150.09 = 506.67 : x
  2. Step 2: Convert to fraction form
    766.73/1,150.09 = 506.67/x
  3. Step 3: Cross multiply
    766.73x = 1,150.09 × 506.67
  4. Step 4: Simplify right side
    766.73x = 582,718.27
  5. Step 5: Solve for x
    x = 582,718.27/766.73
  6. Step 6: Final answer
    x = 760.00

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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.