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Finding the Fourth Proportional to 1,171.14, 1,757.22 and 684.19

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Solution

The fourth proportional to 1,171.14, 1,757.22 and 684.19 is: 1,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.14 : 1,757.22 = 684.19 : x
  2. Step 2: Convert to fraction form
    1,171.14/1,757.22 = 684.19/x
  3. Step 3: Cross multiply
    1,171.14x = 1,757.22 × 684.19
  4. Step 4: Simplify right side
    1,171.14x = 1,202,271.98
  5. Step 5: Solve for x
    x = 1,202,271.98/1,171.14
  6. Step 6: Final answer
    x = 1,026.59

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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.