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Finding the Fourth Proportional to 1,327.75, 1,991.63 and 415.75

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Solution

The fourth proportional to 1,327.75, 1,991.63 and 415.75 is: 623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.75 : 1,991.63 = 415.75 : x
  2. Step 2: Convert to fraction form
    1,327.75/1,991.63 = 415.75/x
  3. Step 3: Cross multiply
    1,327.75x = 1,991.63 × 415.75
  4. Step 4: Simplify right side
    1,327.75x = 828,020.17
  5. Step 5: Solve for x
    x = 828,020.17/1,327.75
  6. Step 6: Final answer
    x = 623.63

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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.