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Finding the Fourth Proportional to 1,327.84, 1,992.60 and 506.20

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Solution

The fourth proportional to 1,327.84, 1,992.60 and 506.20 is: 759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.84 : 1,992.60 = 506.20 : x
  2. Step 2: Convert to fraction form
    1,327.84/1,992.60 = 506.20/x
  3. Step 3: Cross multiply
    1,327.84x = 1,992.60 × 506.20
  4. Step 4: Simplify right side
    1,327.84x = 1,008,652.87
  5. Step 5: Solve for x
    x = 1,008,652.87/1,327.84
  6. Step 6: Final answer
    x = 759.62

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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.