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Finding the Fourth Proportional to 889.39, 1,227.28 and 496.38

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Solution

The fourth proportional to 889.39, 1,227.28 and 496.38 is: 684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.39 : 1,227.28 = 496.38 : x
  2. Step 2: Convert to fraction form
    889.39/1,227.28 = 496.38/x
  3. Step 3: Cross multiply
    889.39x = 1,227.28 × 496.38
  4. Step 4: Simplify right side
    889.39x = 609,197.25
  5. Step 5: Solve for x
    x = 609,197.25/889.39
  6. Step 6: Final answer
    x = 684.96

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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.