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Finding the Fourth Proportional to 1,327.83, 1,992.13 and 506.17

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Solution

The fourth proportional to 1,327.83, 1,992.13 and 506.17 is: 759.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.83 : 1,992.13 = 506.17 : x
  2. Step 2: Convert to fraction form
    1,327.83/1,992.13 = 506.17/x
  3. Step 3: Cross multiply
    1,327.83x = 1,992.13 × 506.17
  4. Step 4: Simplify right side
    1,327.83x = 1,008,360.70
  5. Step 5: Solve for x
    x = 1,008,360.70/1,327.83
  6. Step 6: Final answer
    x = 759.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.