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Finding the Fourth Proportional to 919.73, 1,269.22 and 541.84

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Solution

The fourth proportional to 919.73, 1,269.22 and 541.84 is: 747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.73 : 1,269.22 = 541.84 : x
  2. Step 2: Convert to fraction form
    919.73/1,269.22 = 541.84/x
  3. Step 3: Cross multiply
    919.73x = 1,269.22 × 541.84
  4. Step 4: Simplify right side
    919.73x = 687,713.03
  5. Step 5: Solve for x
    x = 687,713.03/919.73
  6. Step 6: Final answer
    x = 747.73

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Why These Related Problems?

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