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Finding the Fourth Proportional to 997.81, 1,496.72 and 558.85

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Solution

The fourth proportional to 997.81, 1,496.72 and 558.85 is: 838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.81 : 1,496.72 = 558.85 : x
  2. Step 2: Convert to fraction form
    997.81/1,496.72 = 558.85/x
  3. Step 3: Cross multiply
    997.81x = 1,496.72 × 558.85
  4. Step 4: Simplify right side
    997.81x = 836,444.82
  5. Step 5: Solve for x
    x = 836,444.82/997.81
  6. Step 6: Final answer
    x = 838.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.