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Finding the Fourth Proportional to 1,091.16, 1,636.47 and 680.09

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Solution

The fourth proportional to 1,091.16, 1,636.47 and 680.09 is: 1,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.16 : 1,636.47 = 680.09 : x
  2. Step 2: Convert to fraction form
    1,091.16/1,636.47 = 680.09/x
  3. Step 3: Cross multiply
    1,091.16x = 1,636.47 × 680.09
  4. Step 4: Simplify right side
    1,091.16x = 1,112,938.70
  5. Step 5: Solve for x
    x = 1,112,938.70/1,091.16
  6. Step 6: Final answer
    x = 1,019.96

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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.