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Finding the Fourth Proportional to 735.57, 1,103.36 and 461.97

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Solution

The fourth proportional to 735.57, 1,103.36 and 461.97 is: 692.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.57 : 1,103.36 = 461.97 : x
  2. Step 2: Convert to fraction form
    735.57/1,103.36 = 461.97/x
  3. Step 3: Cross multiply
    735.57x = 1,103.36 × 461.97
  4. Step 4: Simplify right side
    735.57x = 509,716.91
  5. Step 5: Solve for x
    x = 509,716.91/735.57
  6. Step 6: Final answer
    x = 692.96

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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.