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Finding the Fourth Proportional to 1,331.45, 1,997.17 and 509.96

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Solution

The fourth proportional to 1,331.45, 1,997.17 and 509.96 is: 764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.45 : 1,997.17 = 509.96 : x
  2. Step 2: Convert to fraction form
    1,331.45/1,997.17 = 509.96/x
  3. Step 3: Cross multiply
    1,331.45x = 1,997.17 × 509.96
  4. Step 4: Simplify right side
    1,331.45x = 1,018,472.17
  5. Step 5: Solve for x
    x = 1,018,472.17/1,331.45
  6. Step 6: Final answer
    x = 764.94

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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.