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Finding the Fourth Proportional to 1,208.61, 1,667.92 and 855.17

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Solution

The fourth proportional to 1,208.61, 1,667.92 and 855.17 is: 1,180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.61 : 1,667.92 = 855.17 : x
  2. Step 2: Convert to fraction form
    1,208.61/1,667.92 = 855.17/x
  3. Step 3: Cross multiply
    1,208.61x = 1,667.92 × 855.17
  4. Step 4: Simplify right side
    1,208.61x = 1,426,344.67
  5. Step 5: Solve for x
    x = 1,426,344.67/1,208.61
  6. Step 6: Final answer
    x = 1,180.15

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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.