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Finding the Fourth Proportional to 997.38, 1,494.05 and 509.76

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Solution

The fourth proportional to 997.38, 1,494.05 and 509.76 is: 763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.38 : 1,494.05 = 509.76 : x
  2. Step 2: Convert to fraction form
    997.38/1,494.05 = 509.76/x
  3. Step 3: Cross multiply
    997.38x = 1,494.05 × 509.76
  4. Step 4: Simplify right side
    997.38x = 761,604.38
  5. Step 5: Solve for x
    x = 761,604.38/997.38
  6. Step 6: Final answer
    x = 763.61

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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.