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Finding the Fourth Proportional to 840.65, 1,260.97 and 635.62

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Solution

The fourth proportional to 840.65, 1,260.97 and 635.62 is: 953.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.65 : 1,260.97 = 635.62 : x
  2. Step 2: Convert to fraction form
    840.65/1,260.97 = 635.62/x
  3. Step 3: Cross multiply
    840.65x = 1,260.97 × 635.62
  4. Step 4: Simplify right side
    840.65x = 801,497.75
  5. Step 5: Solve for x
    x = 801,497.75/840.65
  6. Step 6: Final answer
    x = 953.43

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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.