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Finding the Fourth Proportional to 1,254.73, 1,882.10 and 330.29

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Solution

The fourth proportional to 1,254.73, 1,882.10 and 330.29 is: 495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.73 : 1,882.10 = 330.29 : x
  2. Step 2: Convert to fraction form
    1,254.73/1,882.10 = 330.29/x
  3. Step 3: Cross multiply
    1,254.73x = 1,882.10 × 330.29
  4. Step 4: Simplify right side
    1,254.73x = 621,630.22
  5. Step 5: Solve for x
    x = 621,630.22/1,254.73
  6. Step 6: Final answer
    x = 495.43

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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.