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Finding the Fourth Proportional to 996.56, 1,495.20 and 509.84

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Solution

The fourth proportional to 996.56, 1,495.20 and 509.84 is: 764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.56 : 1,495.20 = 509.84 : x
  2. Step 2: Convert to fraction form
    996.56/1,495.20 = 509.84/x
  3. Step 3: Cross multiply
    996.56x = 1,495.20 × 509.84
  4. Step 4: Simplify right side
    996.56x = 762,312.77
  5. Step 5: Solve for x
    x = 762,312.77/996.56
  6. Step 6: Final answer
    x = 764.94

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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.