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Finding the Fourth Proportional to 1,271.97, 1,909.32 and 1,068.79

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Solution

The fourth proportional to 1,271.97, 1,909.32 and 1,068.79 is: 1,604.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.97 : 1,909.32 = 1,068.79 : x
  2. Step 2: Convert to fraction form
    1,271.97/1,909.32 = 1,068.79/x
  3. Step 3: Cross multiply
    1,271.97x = 1,909.32 × 1,068.79
  4. Step 4: Simplify right side
    1,271.97x = 2,040,662.12
  5. Step 5: Solve for x
    x = 2,040,662.12/1,271.97
  6. Step 6: Final answer
    x = 1,604.33

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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.