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Finding the Fourth Proportional to 923.17, 1,274.25 and 550.41

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Solution

The fourth proportional to 923.17, 1,274.25 and 550.41 is: 759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.17 : 1,274.25 = 550.41 : x
  2. Step 2: Convert to fraction form
    923.17/1,274.25 = 550.41/x
  3. Step 3: Cross multiply
    923.17x = 1,274.25 × 550.41
  4. Step 4: Simplify right side
    923.17x = 701,359.94
  5. Step 5: Solve for x
    x = 701,359.94/923.17
  6. Step 6: Final answer
    x = 759.73

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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.