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Finding the Fourth Proportional to 681.08, 1,023.96 and 596.12

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Solution

The fourth proportional to 681.08, 1,023.96 and 596.12 is: 896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.08 : 1,023.96 = 596.12 : x
  2. Step 2: Convert to fraction form
    681.08/1,023.96 = 596.12/x
  3. Step 3: Cross multiply
    681.08x = 1,023.96 × 596.12
  4. Step 4: Simplify right side
    681.08x = 610,403.04
  5. Step 5: Solve for x
    x = 610,403.04/681.08
  6. Step 6: Final answer
    x = 896.23

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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.