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Finding the Fourth Proportional to 772.36, 1,157.92 and 252.05

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Solution

The fourth proportional to 772.36, 1,157.92 and 252.05 is: 377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.36 : 1,157.92 = 252.05 : x
  2. Step 2: Convert to fraction form
    772.36/1,157.92 = 252.05/x
  3. Step 3: Cross multiply
    772.36x = 1,157.92 × 252.05
  4. Step 4: Simplify right side
    772.36x = 291,847.32
  5. Step 5: Solve for x
    x = 291,847.32/772.36
  6. Step 6: Final answer
    x = 377.87

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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.