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Finding the Fourth Proportional to 997.12, 1,494.87 and 380.71

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Solution

The fourth proportional to 997.12, 1,494.87 and 380.71 is: 570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.12 : 1,494.87 = 380.71 : x
  2. Step 2: Convert to fraction form
    997.12/1,494.87 = 380.71/x
  3. Step 3: Cross multiply
    997.12x = 1,494.87 × 380.71
  4. Step 4: Simplify right side
    997.12x = 569,111.96
  5. Step 5: Solve for x
    x = 569,111.96/997.12
  6. Step 6: Final answer
    x = 570.76

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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.