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Finding the Fourth Proportional to 927.48, 1,391.49 and 440.94

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Solution

The fourth proportional to 927.48, 1,391.49 and 440.94 is: 661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.48 : 1,391.49 = 440.94 : x
  2. Step 2: Convert to fraction form
    927.48/1,391.49 = 440.94/x
  3. Step 3: Cross multiply
    927.48x = 1,391.49 × 440.94
  4. Step 4: Simplify right side
    927.48x = 613,563.60
  5. Step 5: Solve for x
    x = 613,563.60/927.48
  6. Step 6: Final answer
    x = 661.54

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