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Finding the Fourth Proportional to 1,191.40, 1,796.03 and 1,112.11

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Solution

The fourth proportional to 1,191.40, 1,796.03 and 1,112.11 is: 1,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.40 : 1,796.03 = 1,112.11 : x
  2. Step 2: Convert to fraction form
    1,191.40/1,796.03 = 1,112.11/x
  3. Step 3: Cross multiply
    1,191.40x = 1,796.03 × 1,112.11
  4. Step 4: Simplify right side
    1,191.40x = 1,997,382.92
  5. Step 5: Solve for x
    x = 1,997,382.92/1,191.40
  6. Step 6: Final answer
    x = 1,676.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.