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Finding the Fourth Proportional to 735.94, 1,103.43 and 411.46

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Solution

The fourth proportional to 735.94, 1,103.43 and 411.46 is: 616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.94 : 1,103.43 = 411.46 : x
  2. Step 2: Convert to fraction form
    735.94/1,103.43 = 411.46/x
  3. Step 3: Cross multiply
    735.94x = 1,103.43 × 411.46
  4. Step 4: Simplify right side
    735.94x = 454,017.31
  5. Step 5: Solve for x
    x = 454,017.31/735.94
  6. Step 6: Final answer
    x = 616.92

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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.