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Finding the Fourth Proportional to 735.78, 1,103.85 and 411.42

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Solution

The fourth proportional to 735.78, 1,103.85 and 411.42 is: 617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.78 : 1,103.85 = 411.42 : x
  2. Step 2: Convert to fraction form
    735.78/1,103.85 = 411.42/x
  3. Step 3: Cross multiply
    735.78x = 1,103.85 × 411.42
  4. Step 4: Simplify right side
    735.78x = 454,145.97
  5. Step 5: Solve for x
    x = 454,145.97/735.78
  6. Step 6: Final answer
    x = 617.23

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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.