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Finding the Fourth Proportional to 1,382.85, 1,908.23 and 858.78

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Solution

The fourth proportional to 1,382.85, 1,908.23 and 858.78 is: 1,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.85 : 1,908.23 = 858.78 : x
  2. Step 2: Convert to fraction form
    1,382.85/1,908.23 = 858.78/x
  3. Step 3: Cross multiply
    1,382.85x = 1,908.23 × 858.78
  4. Step 4: Simplify right side
    1,382.85x = 1,638,745.47
  5. Step 5: Solve for x
    x = 1,638,745.47/1,382.85
  6. Step 6: Final answer
    x = 1,185.05

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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.