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Finding the Fourth Proportional to 1,186.63, 1,638.41 and 767.23

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Solution

The fourth proportional to 1,186.63, 1,638.41 and 767.23 is: 1,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.63 : 1,638.41 = 767.23 : x
  2. Step 2: Convert to fraction form
    1,186.63/1,638.41 = 767.23/x
  3. Step 3: Cross multiply
    1,186.63x = 1,638.41 × 767.23
  4. Step 4: Simplify right side
    1,186.63x = 1,257,029.37
  5. Step 5: Solve for x
    x = 1,257,029.37/1,186.63
  6. Step 6: Final answer
    x = 1,059.33

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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.