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Finding the Fourth Proportional to 826.97, 1,141.23 and 495.41

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Solution

The fourth proportional to 826.97, 1,141.23 and 495.41 is: 683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.97 : 1,141.23 = 495.41 : x
  2. Step 2: Convert to fraction form
    826.97/1,141.23 = 495.41/x
  3. Step 3: Cross multiply
    826.97x = 1,141.23 × 495.41
  4. Step 4: Simplify right side
    826.97x = 565,376.75
  5. Step 5: Solve for x
    x = 565,376.75/826.97
  6. Step 6: Final answer
    x = 683.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.