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Finding the Fourth Proportional to 829.13, 1,243.07 and 281.16

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Solution

The fourth proportional to 829.13, 1,243.07 and 281.16 is: 421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.13 : 1,243.07 = 281.16 : x
  2. Step 2: Convert to fraction form
    829.13/1,243.07 = 281.16/x
  3. Step 3: Cross multiply
    829.13x = 1,243.07 × 281.16
  4. Step 4: Simplify right side
    829.13x = 349,500.16
  5. Step 5: Solve for x
    x = 349,500.16/829.13
  6. Step 6: Final answer
    x = 421.53

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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.