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Finding the Fourth Proportional to 1,311, 1,809.36 and 845.16

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Solution

The fourth proportional to 1,311, 1,809.36 and 845.16 is: 1,166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311 : 1,809.36 = 845.16 : x
  2. Step 2: Convert to fraction form
    1,311/1,809.36 = 845.16/x
  3. Step 3: Cross multiply
    1,311x = 1,809.36 × 845.16
  4. Step 4: Simplify right side
    1,311x = 1,529,198.70
  5. Step 5: Solve for x
    x = 1,529,198.70/1,311
  6. Step 6: Final answer
    x = 1,166.44

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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.