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Finding the Fourth Proportional to 1,091.79, 1,636.43 and 681.03

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Solution

The fourth proportional to 1,091.79, 1,636.43 and 681.03 is: 1,020.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.79 : 1,636.43 = 681.03 : x
  2. Step 2: Convert to fraction form
    1,091.79/1,636.43 = 681.03/x
  3. Step 3: Cross multiply
    1,091.79x = 1,636.43 × 681.03
  4. Step 4: Simplify right side
    1,091.79x = 1,114,454.52
  5. Step 5: Solve for x
    x = 1,114,454.52/1,091.79
  6. Step 6: Final answer
    x = 1,020.76

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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.