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Finding the Fourth Proportional to 766.90, 1,058.56 and 727.71

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Solution

The fourth proportional to 766.90, 1,058.56 and 727.71 is: 1,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.90 : 1,058.56 = 727.71 : x
  2. Step 2: Convert to fraction form
    766.90/1,058.56 = 727.71/x
  3. Step 3: Cross multiply
    766.90x = 1,058.56 × 727.71
  4. Step 4: Simplify right side
    766.90x = 770,324.70
  5. Step 5: Solve for x
    x = 770,324.70/766.90
  6. Step 6: Final answer
    x = 1,004.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.