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Finding the Fourth Proportional to 889.82, 1,227.48 and 558.20

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Solution

The fourth proportional to 889.82, 1,227.48 and 558.20 is: 770.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.82 : 1,227.48 = 558.20 : x
  2. Step 2: Convert to fraction form
    889.82/1,227.48 = 558.20/x
  3. Step 3: Cross multiply
    889.82x = 1,227.48 × 558.20
  4. Step 4: Simplify right side
    889.82x = 685,179.34
  5. Step 5: Solve for x
    x = 685,179.34/889.82
  6. Step 6: Final answer
    x = 770.02

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