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Finding the Fourth Proportional to 1,511.21, 2,264.78 and 779.25

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Solution

The fourth proportional to 1,511.21, 2,264.78 and 779.25 is: 1,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.21 : 2,264.78 = 779.25 : x
  2. Step 2: Convert to fraction form
    1,511.21/2,264.78 = 779.25/x
  3. Step 3: Cross multiply
    1,511.21x = 2,264.78 × 779.25
  4. Step 4: Simplify right side
    1,511.21x = 1,764,825.92
  5. Step 5: Solve for x
    x = 1,764,825.92/1,511.21
  6. Step 6: Final answer
    x = 1,167.82

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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.