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Finding the Fourth Proportional to 892.03, 1,231.01 and 598

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Solution

The fourth proportional to 892.03, 1,231.01 and 598 is: 825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.03 : 1,231.01 = 598 : x
  2. Step 2: Convert to fraction form
    892.03/1,231.01 = 598/x
  3. Step 3: Cross multiply
    892.03x = 1,231.01 × 598
  4. Step 4: Simplify right side
    892.03x = 736,143.98
  5. Step 5: Solve for x
    x = 736,143.98/892.03
  6. Step 6: Final answer
    x = 825.25

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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.