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Finding the Fourth Proportional to 829.24, 1,243.55 and 281.27

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Solution

The fourth proportional to 829.24, 1,243.55 and 281.27 is: 421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.24 : 1,243.55 = 281.27 : x
  2. Step 2: Convert to fraction form
    829.24/1,243.55 = 281.27/x
  3. Step 3: Cross multiply
    829.24x = 1,243.55 × 281.27
  4. Step 4: Simplify right side
    829.24x = 349,777.12
  5. Step 5: Solve for x
    x = 349,777.12/829.24
  6. Step 6: Final answer
    x = 421.81

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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.