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Finding the Fourth Proportional to 855.59, 1,281.56 and 443.84

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Solution

The fourth proportional to 855.59, 1,281.56 and 443.84 is: 664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.59 : 1,281.56 = 443.84 : x
  2. Step 2: Convert to fraction form
    855.59/1,281.56 = 443.84/x
  3. Step 3: Cross multiply
    855.59x = 1,281.56 × 443.84
  4. Step 4: Simplify right side
    855.59x = 568,798.96
  5. Step 5: Solve for x
    x = 568,798.96/855.59
  6. Step 6: Final answer
    x = 664.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.