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Finding the Fourth Proportional to 1,254.44, 1,881.50 and 330

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Solution

The fourth proportional to 1,254.44, 1,881.50 and 330 is: 494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.44 : 1,881.50 = 330 : x
  2. Step 2: Convert to fraction form
    1,254.44/1,881.50 = 330/x
  3. Step 3: Cross multiply
    1,254.44x = 1,881.50 × 330
  4. Step 4: Simplify right side
    1,254.44x = 620,893.35
  5. Step 5: Solve for x
    x = 620,893.35/1,254.44
  6. Step 6: Final answer
    x = 494.96

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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.