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Finding the Fourth Proportional to 1,327.36, 1,991.05 and 461.06

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Solution

The fourth proportional to 1,327.36, 1,991.05 and 461.06 is: 691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.36 : 1,991.05 = 461.06 : x
  2. Step 2: Convert to fraction form
    1,327.36/1,991.05 = 461.06/x
  3. Step 3: Cross multiply
    1,327.36x = 1,991.05 × 461.06
  4. Step 4: Simplify right side
    1,327.36x = 917,997.34
  5. Step 5: Solve for x
    x = 917,997.34/1,327.36
  6. Step 6: Final answer
    x = 691.60

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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.