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Finding the Fourth Proportional to 1,635.25, 2,451.25 and 768.01

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Solution

The fourth proportional to 1,635.25, 2,451.25 and 768.01 is: 1,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.25 : 2,451.25 = 768.01 : x
  2. Step 2: Convert to fraction form
    1,635.25/2,451.25 = 768.01/x
  3. Step 3: Cross multiply
    1,635.25x = 2,451.25 × 768.01
  4. Step 4: Simplify right side
    1,635.25x = 1,882,584.51
  5. Step 5: Solve for x
    x = 1,882,584.51/1,635.25
  6. Step 6: Final answer
    x = 1,151.25

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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.