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Finding the Fourth Proportional to 826.99, 1,141.20 and 495.60

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Solution

The fourth proportional to 826.99, 1,141.20 and 495.60 is: 683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.99 : 1,141.20 = 495.60 : x
  2. Step 2: Convert to fraction form
    826.99/1,141.20 = 495.60/x
  3. Step 3: Cross multiply
    826.99x = 1,141.20 × 495.60
  4. Step 4: Simplify right side
    826.99x = 565,578.72
  5. Step 5: Solve for x
    x = 565,578.72/826.99
  6. Step 6: Final answer
    x = 683.90

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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.