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Finding the Fourth Proportional to 937.91, 1,294.05 and 606.53

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Solution

The fourth proportional to 937.91, 1,294.05 and 606.53 is: 836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.91 : 1,294.05 = 606.53 : x
  2. Step 2: Convert to fraction form
    937.91/1,294.05 = 606.53/x
  3. Step 3: Cross multiply
    937.91x = 1,294.05 × 606.53
  4. Step 4: Simplify right side
    937.91x = 784,873.68
  5. Step 5: Solve for x
    x = 784,873.68/937.91
  6. Step 6: Final answer
    x = 836.84

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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.