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Finding the Fourth Proportional to 1,208.96, 1,667.22 and 811.52

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Solution

The fourth proportional to 1,208.96, 1,667.22 and 811.52 is: 1,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.96 : 1,667.22 = 811.52 : x
  2. Step 2: Convert to fraction form
    1,208.96/1,667.22 = 811.52/x
  3. Step 3: Cross multiply
    1,208.96x = 1,667.22 × 811.52
  4. Step 4: Simplify right side
    1,208.96x = 1,352,982.37
  5. Step 5: Solve for x
    x = 1,352,982.37/1,208.96
  6. Step 6: Final answer
    x = 1,119.13

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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.