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Finding the Fourth Proportional to 1,254.98, 1,882.31 and 330.48

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Solution

The fourth proportional to 1,254.98, 1,882.31 and 330.48 is: 495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.98 : 1,882.31 = 330.48 : x
  2. Step 2: Convert to fraction form
    1,254.98/1,882.31 = 330.48/x
  3. Step 3: Cross multiply
    1,254.98x = 1,882.31 × 330.48
  4. Step 4: Simplify right side
    1,254.98x = 622,064.16
  5. Step 5: Solve for x
    x = 622,064.16/1,254.98
  6. Step 6: Final answer
    x = 495.68

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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.