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Finding the Fourth Proportional to 829.73, 1,242.97 and 504.29

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Solution

The fourth proportional to 829.73, 1,242.97 and 504.29 is: 755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.73 : 1,242.97 = 504.29 : x
  2. Step 2: Convert to fraction form
    829.73/1,242.97 = 504.29/x
  3. Step 3: Cross multiply
    829.73x = 1,242.97 × 504.29
  4. Step 4: Simplify right side
    829.73x = 626,809.87
  5. Step 5: Solve for x
    x = 626,809.87/829.73
  6. Step 6: Final answer
    x = 755.44

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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.