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Finding the Fourth Proportional to 937.22, 1,293.06 and 538.78

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Solution

The fourth proportional to 937.22, 1,293.06 and 538.78 is: 743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.22 : 1,293.06 = 538.78 : x
  2. Step 2: Convert to fraction form
    937.22/1,293.06 = 538.78/x
  3. Step 3: Cross multiply
    937.22x = 1,293.06 × 538.78
  4. Step 4: Simplify right side
    937.22x = 696,672.44
  5. Step 5: Solve for x
    x = 696,672.44/937.22
  6. Step 6: Final answer
    x = 743.34

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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.