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Finding the Fourth Proportional to 889.75, 1,224.95 and 773.27

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Solution

The fourth proportional to 889.75, 1,224.95 and 773.27 is: 1,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.75 : 1,224.95 = 773.27 : x
  2. Step 2: Convert to fraction form
    889.75/1,224.95 = 773.27/x
  3. Step 3: Cross multiply
    889.75x = 1,224.95 × 773.27
  4. Step 4: Simplify right side
    889.75x = 947,217.09
  5. Step 5: Solve for x
    x = 947,217.09/889.75
  6. Step 6: Final answer
    x = 1,064.59

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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.