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Finding the Fourth Proportional to 996.18, 1,493.01 and 509.37

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Solution

The fourth proportional to 996.18, 1,493.01 and 509.37 is: 763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.18 : 1,493.01 = 509.37 : x
  2. Step 2: Convert to fraction form
    996.18/1,493.01 = 509.37/x
  3. Step 3: Cross multiply
    996.18x = 1,493.01 × 509.37
  4. Step 4: Simplify right side
    996.18x = 760,494.50
  5. Step 5: Solve for x
    x = 760,494.50/996.18
  6. Step 6: Final answer
    x = 763.41

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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.