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Finding the Fourth Proportional to 1,254.44, 1,881.97 and 523.62

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Solution

The fourth proportional to 1,254.44, 1,881.97 and 523.62 is: 785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.44 : 1,881.97 = 523.62 : x
  2. Step 2: Convert to fraction form
    1,254.44/1,881.97 = 523.62/x
  3. Step 3: Cross multiply
    1,254.44x = 1,881.97 × 523.62
  4. Step 4: Simplify right side
    1,254.44x = 985,435.82
  5. Step 5: Solve for x
    x = 985,435.82/1,254.44
  6. Step 6: Final answer
    x = 785.56

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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.