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Finding the Fourth Proportional to 839.14, 1,259.14 and 634.96

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Solution

The fourth proportional to 839.14, 1,259.14 and 634.96 is: 952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.14 : 1,259.14 = 634.96 : x
  2. Step 2: Convert to fraction form
    839.14/1,259.14 = 634.96/x
  3. Step 3: Cross multiply
    839.14x = 1,259.14 × 634.96
  4. Step 4: Simplify right side
    839.14x = 799,498.80
  5. Step 5: Solve for x
    x = 799,498.80/839.14
  6. Step 6: Final answer
    x = 952.76

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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.