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Finding the Fourth Proportional to 1,480.88, 2,221.46 and 385.27

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Solution

The fourth proportional to 1,480.88, 2,221.46 and 385.27 is: 577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.88 : 2,221.46 = 385.27 : x
  2. Step 2: Convert to fraction form
    1,480.88/2,221.46 = 385.27/x
  3. Step 3: Cross multiply
    1,480.88x = 2,221.46 × 385.27
  4. Step 4: Simplify right side
    1,480.88x = 855,861.89
  5. Step 5: Solve for x
    x = 855,861.89/1,480.88
  6. Step 6: Final answer
    x = 577.94

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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.