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Finding the Fourth Proportional to 1,254.22, 1,881.80 and 523.73

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Solution

The fourth proportional to 1,254.22, 1,881.80 and 523.73 is: 785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.22 : 1,881.80 = 523.73 : x
  2. Step 2: Convert to fraction form
    1,254.22/1,881.80 = 523.73/x
  3. Step 3: Cross multiply
    1,254.22x = 1,881.80 × 523.73
  4. Step 4: Simplify right side
    1,254.22x = 985,555.11
  5. Step 5: Solve for x
    x = 985,555.11/1,254.22
  6. Step 6: Final answer
    x = 785.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.