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Finding the Fourth Proportional to 1,445.46, 1,993.94 and 855.88

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Solution

The fourth proportional to 1,445.46, 1,993.94 and 855.88 is: 1,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.46 : 1,993.94 = 855.88 : x
  2. Step 2: Convert to fraction form
    1,445.46/1,993.94 = 855.88/x
  3. Step 3: Cross multiply
    1,445.46x = 1,993.94 × 855.88
  4. Step 4: Simplify right side
    1,445.46x = 1,706,559.12
  5. Step 5: Solve for x
    x = 1,706,559.12/1,445.46
  6. Step 6: Final answer
    x = 1,180.64

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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.