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Finding the Fourth Proportional to 919.42, 1,371.36 and 771.44

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Solution

The fourth proportional to 919.42, 1,371.36 and 771.44 is: 1,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.42 : 1,371.36 = 771.44 : x
  2. Step 2: Convert to fraction form
    919.42/1,371.36 = 771.44/x
  3. Step 3: Cross multiply
    919.42x = 1,371.36 × 771.44
  4. Step 4: Simplify right side
    919.42x = 1,057,917.99
  5. Step 5: Solve for x
    x = 1,057,917.99/919.42
  6. Step 6: Final answer
    x = 1,150.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.