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Finding the Fourth Proportional to 1,327.71, 1,991.40 and 403.23

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Solution

The fourth proportional to 1,327.71, 1,991.40 and 403.23 is: 604.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.71 : 1,991.40 = 403.23 : x
  2. Step 2: Convert to fraction form
    1,327.71/1,991.40 = 403.23/x
  3. Step 3: Cross multiply
    1,327.71x = 1,991.40 × 403.23
  4. Step 4: Simplify right side
    1,327.71x = 802,992.22
  5. Step 5: Solve for x
    x = 802,992.22/1,327.71
  6. Step 6: Final answer
    x = 604.79

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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.