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Finding the Fourth Proportional to 829.47, 1,244.37 and 281.70

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Solution

The fourth proportional to 829.47, 1,244.37 and 281.70 is: 422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.47 : 1,244.37 = 281.70 : x
  2. Step 2: Convert to fraction form
    829.47/1,244.37 = 281.70/x
  3. Step 3: Cross multiply
    829.47x = 1,244.37 × 281.70
  4. Step 4: Simplify right side
    829.47x = 350,539.03
  5. Step 5: Solve for x
    x = 350,539.03/829.47
  6. Step 6: Final answer
    x = 422.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.