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Finding the Fourth Proportional to 889.06, 1,226.82 and 496.09

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Solution

The fourth proportional to 889.06, 1,226.82 and 496.09 is: 684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.06 : 1,226.82 = 496.09 : x
  2. Step 2: Convert to fraction form
    889.06/1,226.82 = 496.09/x
  3. Step 3: Cross multiply
    889.06x = 1,226.82 × 496.09
  4. Step 4: Simplify right side
    889.06x = 608,613.13
  5. Step 5: Solve for x
    x = 608,613.13/889.06
  6. Step 6: Final answer
    x = 684.56

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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.