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Finding the Fourth Proportional to 826.65, 1,140.80 and 495.09

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Solution

The fourth proportional to 826.65, 1,140.80 and 495.09 is: 683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.65 : 1,140.80 = 495.09 : x
  2. Step 2: Convert to fraction form
    826.65/1,140.80 = 495.09/x
  3. Step 3: Cross multiply
    826.65x = 1,140.80 × 495.09
  4. Step 4: Simplify right side
    826.65x = 564,796.20
  5. Step 5: Solve for x
    x = 564,796.20/826.65
  6. Step 6: Final answer
    x = 683.23

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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.