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Finding the Fourth Proportional to 889.94, 1,227.78 and 516.71

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Solution

The fourth proportional to 889.94, 1,227.78 and 516.71 is: 712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.94 : 1,227.78 = 516.71 : x
  2. Step 2: Convert to fraction form
    889.94/1,227.78 = 516.71/x
  3. Step 3: Cross multiply
    889.94x = 1,227.78 × 516.71
  4. Step 4: Simplify right side
    889.94x = 634,400.06
  5. Step 5: Solve for x
    x = 634,400.06/889.94
  6. Step 6: Final answer
    x = 712.86

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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.