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Finding the Fourth Proportional to 923.06, 1,273.98 and 550.25

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Solution

The fourth proportional to 923.06, 1,273.98 and 550.25 is: 759.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.06 : 1,273.98 = 550.25 : x
  2. Step 2: Convert to fraction form
    923.06/1,273.98 = 550.25/x
  3. Step 3: Cross multiply
    923.06x = 1,273.98 × 550.25
  4. Step 4: Simplify right side
    923.06x = 701,007.50
  5. Step 5: Solve for x
    x = 701,007.50/923.06
  6. Step 6: Final answer
    x = 759.44

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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.