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Finding the Fourth Proportional to 936.73, 1,293.20 and 653.56

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Solution

The fourth proportional to 936.73, 1,293.20 and 653.56 is: 902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.73 : 1,293.20 = 653.56 : x
  2. Step 2: Convert to fraction form
    936.73/1,293.20 = 653.56/x
  3. Step 3: Cross multiply
    936.73x = 1,293.20 × 653.56
  4. Step 4: Simplify right side
    936.73x = 845,183.79
  5. Step 5: Solve for x
    x = 845,183.79/936.73
  6. Step 6: Final answer
    x = 902.27

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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.