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Finding the Fourth Proportional to 829.36, 1,242.42 and 799.48

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Solution

The fourth proportional to 829.36, 1,242.42 and 799.48 is: 1,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.36 : 1,242.42 = 799.48 : x
  2. Step 2: Convert to fraction form
    829.36/1,242.42 = 799.48/x
  3. Step 3: Cross multiply
    829.36x = 1,242.42 × 799.48
  4. Step 4: Simplify right side
    829.36x = 993,289.94
  5. Step 5: Solve for x
    x = 993,289.94/829.36
  6. Step 6: Final answer
    x = 1,197.66

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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.