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Finding the Fourth Proportional to 1,313.94, 1,813.26 and 849

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Solution

The fourth proportional to 1,313.94, 1,813.26 and 849 is: 1,171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.94 : 1,813.26 = 849 : x
  2. Step 2: Convert to fraction form
    1,313.94/1,813.26 = 849/x
  3. Step 3: Cross multiply
    1,313.94x = 1,813.26 × 849
  4. Step 4: Simplify right side
    1,313.94x = 1,539,453.50
  5. Step 5: Solve for x
    x = 1,539,453.50/1,313.94
  6. Step 6: Final answer
    x = 1,171.63

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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.