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Finding the Fourth Proportional to 997.30, 1,495.27 and 509.95

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Solution

The fourth proportional to 997.30, 1,495.27 and 509.95 is: 764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.30 : 1,495.27 = 509.95 : x
  2. Step 2: Convert to fraction form
    997.30/1,495.27 = 509.95/x
  3. Step 3: Cross multiply
    997.30x = 1,495.27 × 509.95
  4. Step 4: Simplify right side
    997.30x = 762,512.94
  5. Step 5: Solve for x
    x = 762,512.94/997.30
  6. Step 6: Final answer
    x = 764.58

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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.