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Finding the Fourth Proportional to 937.44, 1,407.24 and 664.74

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Solution

The fourth proportional to 937.44, 1,407.24 and 664.74 is: 997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.44 : 1,407.24 = 664.74 : x
  2. Step 2: Convert to fraction form
    937.44/1,407.24 = 664.74/x
  3. Step 3: Cross multiply
    937.44x = 1,407.24 × 664.74
  4. Step 4: Simplify right side
    937.44x = 935,448.72
  5. Step 5: Solve for x
    x = 935,448.72/937.44
  6. Step 6: Final answer
    x = 997.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.