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Finding the Fourth Proportional to 936.75, 1,292.72 and 661.23

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Solution

The fourth proportional to 936.75, 1,292.72 and 661.23 is: 912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.75 : 1,292.72 = 661.23 : x
  2. Step 2: Convert to fraction form
    936.75/1,292.72 = 661.23/x
  3. Step 3: Cross multiply
    936.75x = 1,292.72 × 661.23
  4. Step 4: Simplify right side
    936.75x = 854,781.94
  5. Step 5: Solve for x
    x = 854,781.94/936.75
  6. Step 6: Final answer
    x = 912.50

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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.