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Finding the Fourth Proportional to 766.73, 1,151.01 and 585.09

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Solution

The fourth proportional to 766.73, 1,151.01 and 585.09 is: 878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.73 : 1,151.01 = 585.09 : x
  2. Step 2: Convert to fraction form
    766.73/1,151.01 = 585.09/x
  3. Step 3: Cross multiply
    766.73x = 1,151.01 × 585.09
  4. Step 4: Simplify right side
    766.73x = 673,444.44
  5. Step 5: Solve for x
    x = 673,444.44/766.73
  6. Step 6: Final answer
    x = 878.33

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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.