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Finding the Fourth Proportional to 1,208.61, 1,669.41 and 894.33

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Solution

The fourth proportional to 1,208.61, 1,669.41 and 894.33 is: 1,235.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.61 : 1,669.41 = 894.33 : x
  2. Step 2: Convert to fraction form
    1,208.61/1,669.41 = 894.33/x
  3. Step 3: Cross multiply
    1,208.61x = 1,669.41 × 894.33
  4. Step 4: Simplify right side
    1,208.61x = 1,493,003.45
  5. Step 5: Solve for x
    x = 1,493,003.45/1,208.61
  6. Step 6: Final answer
    x = 1,235.31

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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.