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Finding the Fourth Proportional to 937.34, 1,292.20 and 727.15

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Solution

The fourth proportional to 937.34, 1,292.20 and 727.15 is: 1,002.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.34 : 1,292.20 = 727.15 : x
  2. Step 2: Convert to fraction form
    937.34/1,292.20 = 727.15/x
  3. Step 3: Cross multiply
    937.34x = 1,292.20 × 727.15
  4. Step 4: Simplify right side
    937.34x = 939,618.28
  5. Step 5: Solve for x
    x = 939,618.28/937.34
  6. Step 6: Final answer
    x = 1,002.43

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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.