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Finding the Fourth Proportional to 1,208.11, 1,667.16 and 656.11

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Solution

The fourth proportional to 1,208.11, 1,667.16 and 656.11 is: 905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.11 : 1,667.16 = 656.11 : x
  2. Step 2: Convert to fraction form
    1,208.11/1,667.16 = 656.11/x
  3. Step 3: Cross multiply
    1,208.11x = 1,667.16 × 656.11
  4. Step 4: Simplify right side
    1,208.11x = 1,093,840.35
  5. Step 5: Solve for x
    x = 1,093,840.35/1,208.11
  6. Step 6: Final answer
    x = 905.41

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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.