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Finding the Fourth Proportional to 889.39, 1,227.37 and 496.42

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Solution

The fourth proportional to 889.39, 1,227.37 and 496.42 is: 685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.39 : 1,227.37 = 496.42 : x
  2. Step 2: Convert to fraction form
    889.39/1,227.37 = 496.42/x
  3. Step 3: Cross multiply
    889.39x = 1,227.37 × 496.42
  4. Step 4: Simplify right side
    889.39x = 609,291.02
  5. Step 5: Solve for x
    x = 609,291.02/889.39
  6. Step 6: Final answer
    x = 685.07

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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.