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Finding the Fourth Proportional to 1,348.25, 2,022.26 and 423.86

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Solution

The fourth proportional to 1,348.25, 2,022.26 and 423.86 is: 635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.25 : 2,022.26 = 423.86 : x
  2. Step 2: Convert to fraction form
    1,348.25/2,022.26 = 423.86/x
  3. Step 3: Cross multiply
    1,348.25x = 2,022.26 × 423.86
  4. Step 4: Simplify right side
    1,348.25x = 857,142.89
  5. Step 5: Solve for x
    x = 857,142.89/1,348.25
  6. Step 6: Final answer
    x = 635.75

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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.