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Finding the Fourth Proportional to 1,207.72, 1,667.94 and 1,164.52

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Solution

The fourth proportional to 1,207.72, 1,667.94 and 1,164.52 is: 1,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.72 : 1,667.94 = 1,164.52 : x
  2. Step 2: Convert to fraction form
    1,207.72/1,667.94 = 1,164.52/x
  3. Step 3: Cross multiply
    1,207.72x = 1,667.94 × 1,164.52
  4. Step 4: Simplify right side
    1,207.72x = 1,942,349.49
  5. Step 5: Solve for x
    x = 1,942,349.49/1,207.72
  6. Step 6: Final answer
    x = 1,608.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.