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Finding the Fourth Proportional to 889.74, 1,227.70 and 496.62

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Solution

The fourth proportional to 889.74, 1,227.70 and 496.62 is: 685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.74 : 1,227.70 = 496.62 : x
  2. Step 2: Convert to fraction form
    889.74/1,227.70 = 496.62/x
  3. Step 3: Cross multiply
    889.74x = 1,227.70 × 496.62
  4. Step 4: Simplify right side
    889.74x = 609,700.37
  5. Step 5: Solve for x
    x = 609,700.37/889.74
  6. Step 6: Final answer
    x = 685.26

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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.