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Finding the Fourth Proportional to 865.70, 1,299.21 and 635.19

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Solution

The fourth proportional to 865.70, 1,299.21 and 635.19 is: 953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.70 : 1,299.21 = 635.19 : x
  2. Step 2: Convert to fraction form
    865.70/1,299.21 = 635.19/x
  3. Step 3: Cross multiply
    865.70x = 1,299.21 × 635.19
  4. Step 4: Simplify right side
    865.70x = 825,245.20
  5. Step 5: Solve for x
    x = 825,245.20/865.70
  6. Step 6: Final answer
    x = 953.27

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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.