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Finding the Fourth Proportional to 1,074.21, 1,481.84 and 779.73

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Solution

The fourth proportional to 1,074.21, 1,481.84 and 779.73 is: 1,075.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.21 : 1,481.84 = 779.73 : x
  2. Step 2: Convert to fraction form
    1,074.21/1,481.84 = 779.73/x
  3. Step 3: Cross multiply
    1,074.21x = 1,481.84 × 779.73
  4. Step 4: Simplify right side
    1,074.21x = 1,155,432.96
  5. Step 5: Solve for x
    x = 1,155,432.96/1,074.21
  6. Step 6: Final answer
    x = 1,075.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.