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Finding the Fourth Proportional to 889.22, 1,227.01 and 496.21

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Solution

The fourth proportional to 889.22, 1,227.01 and 496.21 is: 684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.22 : 1,227.01 = 496.21 : x
  2. Step 2: Convert to fraction form
    889.22/1,227.01 = 496.21/x
  3. Step 3: Cross multiply
    889.22x = 1,227.01 × 496.21
  4. Step 4: Simplify right side
    889.22x = 608,854.63
  5. Step 5: Solve for x
    x = 608,854.63/889.22
  6. Step 6: Final answer
    x = 684.71

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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.