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Finding the Fourth Proportional to 829.42, 1,244.03 and 281.59

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Solution

The fourth proportional to 829.42, 1,244.03 and 281.59 is: 422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.42 : 1,244.03 = 281.59 : x
  2. Step 2: Convert to fraction form
    829.42/1,244.03 = 281.59/x
  3. Step 3: Cross multiply
    829.42x = 1,244.03 × 281.59
  4. Step 4: Simplify right side
    829.42x = 350,301.89
  5. Step 5: Solve for x
    x = 350,301.89/829.42
  6. Step 6: Final answer
    x = 422.35

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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.