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Finding the Fourth Proportional to 997.21, 1,496.32 and 558.95

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Solution

The fourth proportional to 997.21, 1,496.32 and 558.95 is: 838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.21 : 1,496.32 = 558.95 : x
  2. Step 2: Convert to fraction form
    997.21/1,496.32 = 558.95/x
  3. Step 3: Cross multiply
    997.21x = 1,496.32 × 558.95
  4. Step 4: Simplify right side
    997.21x = 836,370.75
  5. Step 5: Solve for x
    x = 836,370.75/997.21
  6. Step 6: Final answer
    x = 838.71

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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.