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Finding the Fourth Proportional to 927.75, 1,391.64 and 243.75

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Solution

The fourth proportional to 927.75, 1,391.64 and 243.75 is: 365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.75 : 1,391.64 = 243.75 : x
  2. Step 2: Convert to fraction form
    927.75/1,391.64 = 243.75/x
  3. Step 3: Cross multiply
    927.75x = 1,391.64 × 243.75
  4. Step 4: Simplify right side
    927.75x = 339,212.25
  5. Step 5: Solve for x
    x = 339,212.25/927.75
  6. Step 6: Final answer
    x = 365.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.