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Finding the Fourth Proportional to 1,091.31, 1,636.85 and 321.75

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Solution

The fourth proportional to 1,091.31, 1,636.85 and 321.75 is: 482.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.31 : 1,636.85 = 321.75 : x
  2. Step 2: Convert to fraction form
    1,091.31/1,636.85 = 321.75/x
  3. Step 3: Cross multiply
    1,091.31x = 1,636.85 × 321.75
  4. Step 4: Simplify right side
    1,091.31x = 526,654.88
  5. Step 5: Solve for x
    x = 526,654.88/1,091.31
  6. Step 6: Final answer
    x = 482.59

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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.