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Finding the Fourth Proportional to 835.14, 1,252.26 and 424.02

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Solution

The fourth proportional to 835.14, 1,252.26 and 424.02 is: 635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.14 : 1,252.26 = 424.02 : x
  2. Step 2: Convert to fraction form
    835.14/1,252.26 = 424.02/x
  3. Step 3: Cross multiply
    835.14x = 1,252.26 × 424.02
  4. Step 4: Simplify right side
    835.14x = 530,983.29
  5. Step 5: Solve for x
    x = 530,983.29/835.14
  6. Step 6: Final answer
    x = 635.80

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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.