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Finding the Fourth Proportional to 996.33, 1,495.41 and 509.72

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Solution

The fourth proportional to 996.33, 1,495.41 and 509.72 is: 765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.33 : 1,495.41 = 509.72 : x
  2. Step 2: Convert to fraction form
    996.33/1,495.41 = 509.72/x
  3. Step 3: Cross multiply
    996.33x = 1,495.41 × 509.72
  4. Step 4: Simplify right side
    996.33x = 762,237.84
  5. Step 5: Solve for x
    x = 762,237.84/996.33
  6. Step 6: Final answer
    x = 765.05

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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.