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Finding the Fourth Proportional to 1,327.64, 1,991.01 and 461.84

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Solution

The fourth proportional to 1,327.64, 1,991.01 and 461.84 is: 692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.64 : 1,991.01 = 461.84 : x
  2. Step 2: Convert to fraction form
    1,327.64/1,991.01 = 461.84/x
  3. Step 3: Cross multiply
    1,327.64x = 1,991.01 × 461.84
  4. Step 4: Simplify right side
    1,327.64x = 919,528.06
  5. Step 5: Solve for x
    x = 919,528.06/1,327.64
  6. Step 6: Final answer
    x = 692.60

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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.