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Finding the Fourth Proportional to 938.54, 1,408.14 and 590.78

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Solution

The fourth proportional to 938.54, 1,408.14 and 590.78 is: 886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.54 : 1,408.14 = 590.78 : x
  2. Step 2: Convert to fraction form
    938.54/1,408.14 = 590.78/x
  3. Step 3: Cross multiply
    938.54x = 1,408.14 × 590.78
  4. Step 4: Simplify right side
    938.54x = 831,893.91
  5. Step 5: Solve for x
    x = 831,893.91/938.54
  6. Step 6: Final answer
    x = 886.37

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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.