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Finding the Fourth Proportional to 1,340.94, 1,849.75 and 843.40

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Solution

The fourth proportional to 1,340.94, 1,849.75 and 843.40 is: 1,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.94 : 1,849.75 = 843.40 : x
  2. Step 2: Convert to fraction form
    1,340.94/1,849.75 = 843.40/x
  3. Step 3: Cross multiply
    1,340.94x = 1,849.75 × 843.40
  4. Step 4: Simplify right side
    1,340.94x = 1,560,069.90
  5. Step 5: Solve for x
    x = 1,560,069.90/1,340.94
  6. Step 6: Final answer
    x = 1,163.42

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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.