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Finding the Fourth Proportional to 829.70, 1,243.70 and 281.53

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Solution

The fourth proportional to 829.70, 1,243.70 and 281.53 is: 422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.70 : 1,243.70 = 281.53 : x
  2. Step 2: Convert to fraction form
    829.70/1,243.70 = 281.53/x
  3. Step 3: Cross multiply
    829.70x = 1,243.70 × 281.53
  4. Step 4: Simplify right side
    829.70x = 350,138.86
  5. Step 5: Solve for x
    x = 350,138.86/829.70
  6. Step 6: Final answer
    x = 422.01

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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.