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Finding the Fourth Proportional to 996.16, 1,495.64 and 509.56

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Solution

The fourth proportional to 996.16, 1,495.64 and 509.56 is: 765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.16 : 1,495.64 = 509.56 : x
  2. Step 2: Convert to fraction form
    996.16/1,495.64 = 509.56/x
  3. Step 3: Cross multiply
    996.16x = 1,495.64 × 509.56
  4. Step 4: Simplify right side
    996.16x = 762,118.32
  5. Step 5: Solve for x
    x = 762,118.32/996.16
  6. Step 6: Final answer
    x = 765.06

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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.