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Finding the Fourth Proportional to 598.73, 892.92 and 540.41

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Solution

The fourth proportional to 598.73, 892.92 and 540.41 is: 805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.73 : 892.92 = 540.41 : x
  2. Step 2: Convert to fraction form
    598.73/892.92 = 540.41/x
  3. Step 3: Cross multiply
    598.73x = 892.92 × 540.41
  4. Step 4: Simplify right side
    598.73x = 482,540.46
  5. Step 5: Solve for x
    x = 482,540.46/598.73
  6. Step 6: Final answer
    x = 805.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.