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Finding the Fourth Proportional to 889.12, 1,227 and 490.80

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Solution

The fourth proportional to 889.12, 1,227 and 490.80 is: 677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.12 : 1,227 = 490.80 : x
  2. Step 2: Convert to fraction form
    889.12/1,227 = 490.80/x
  3. Step 3: Cross multiply
    889.12x = 1,227 × 490.80
  4. Step 4: Simplify right side
    889.12x = 602,211.60
  5. Step 5: Solve for x
    x = 602,211.60/889.12
  6. Step 6: Final answer
    x = 677.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.