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Finding the Fourth Proportional to 735.03, 1,103.22 and 461.61

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Solution

The fourth proportional to 735.03, 1,103.22 and 461.61 is: 692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.03 : 1,103.22 = 461.61 : x
  2. Step 2: Convert to fraction form
    735.03/1,103.22 = 461.61/x
  3. Step 3: Cross multiply
    735.03x = 1,103.22 × 461.61
  4. Step 4: Simplify right side
    735.03x = 509,257.38
  5. Step 5: Solve for x
    x = 509,257.38/735.03
  6. Step 6: Final answer
    x = 692.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.