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Finding the Fourth Proportional to 938.05, 1,294.30 and 539.84

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Solution

The fourth proportional to 938.05, 1,294.30 and 539.84 is: 744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.05 : 1,294.30 = 539.84 : x
  2. Step 2: Convert to fraction form
    938.05/1,294.30 = 539.84/x
  3. Step 3: Cross multiply
    938.05x = 1,294.30 × 539.84
  4. Step 4: Simplify right side
    938.05x = 698,714.91
  5. Step 5: Solve for x
    x = 698,714.91/938.05
  6. Step 6: Final answer
    x = 744.86

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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.