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Finding the Fourth Proportional to 1,327.40, 1,832.11 and 860.84

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Solution

The fourth proportional to 1,327.40, 1,832.11 and 860.84 is: 1,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.40 : 1,832.11 = 860.84 : x
  2. Step 2: Convert to fraction form
    1,327.40/1,832.11 = 860.84/x
  3. Step 3: Cross multiply
    1,327.40x = 1,832.11 × 860.84
  4. Step 4: Simplify right side
    1,327.40x = 1,577,142.26
  5. Step 5: Solve for x
    x = 1,577,142.26/1,327.40
  6. Step 6: Final answer
    x = 1,188.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.