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Finding the Fourth Proportional to 1,090.75, 1,636.44 and 321.25

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Solution

The fourth proportional to 1,090.75, 1,636.44 and 321.25 is: 481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.75 : 1,636.44 = 321.25 : x
  2. Step 2: Convert to fraction form
    1,090.75/1,636.44 = 321.25/x
  3. Step 3: Cross multiply
    1,090.75x = 1,636.44 × 321.25
  4. Step 4: Simplify right side
    1,090.75x = 525,706.35
  5. Step 5: Solve for x
    x = 525,706.35/1,090.75
  6. Step 6: Final answer
    x = 481.97

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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.