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Finding the Fourth Proportional to 892.36, 1,231.94 and 598.12

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Solution

The fourth proportional to 892.36, 1,231.94 and 598.12 is: 825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.36 : 1,231.94 = 598.12 : x
  2. Step 2: Convert to fraction form
    892.36/1,231.94 = 598.12/x
  3. Step 3: Cross multiply
    892.36x = 1,231.94 × 598.12
  4. Step 4: Simplify right side
    892.36x = 736,847.95
  5. Step 5: Solve for x
    x = 736,847.95/892.36
  6. Step 6: Final answer
    x = 825.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.