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Finding the Fourth Proportional to 889.69, 1,227.39 and 516.40

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Solution

The fourth proportional to 889.69, 1,227.39 and 516.40 is: 712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.69 : 1,227.39 = 516.40 : x
  2. Step 2: Convert to fraction form
    889.69/1,227.39 = 516.40/x
  3. Step 3: Cross multiply
    889.69x = 1,227.39 × 516.40
  4. Step 4: Simplify right side
    889.69x = 633,824.20
  5. Step 5: Solve for x
    x = 633,824.20/889.69
  6. Step 6: Final answer
    x = 712.41

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Double scale
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1.5x scale

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.