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Finding the Fourth Proportional to 829.36, 1,243.55 and 281.39

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Solution

The fourth proportional to 829.36, 1,243.55 and 281.39 is: 421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.36 : 1,243.55 = 281.39 : x
  2. Step 2: Convert to fraction form
    829.36/1,243.55 = 281.39/x
  3. Step 3: Cross multiply
    829.36x = 1,243.55 × 281.39
  4. Step 4: Simplify right side
    829.36x = 349,922.53
  5. Step 5: Solve for x
    x = 349,922.53/829.36
  6. Step 6: Final answer
    x = 421.92

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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.