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Finding the Fourth Proportional to 855.77, 1,282.28 and 490.81

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Solution

The fourth proportional to 855.77, 1,282.28 and 490.81 is: 735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.77 : 1,282.28 = 490.81 : x
  2. Step 2: Convert to fraction form
    855.77/1,282.28 = 490.81/x
  3. Step 3: Cross multiply
    855.77x = 1,282.28 × 490.81
  4. Step 4: Simplify right side
    855.77x = 629,355.35
  5. Step 5: Solve for x
    x = 629,355.35/855.77
  6. Step 6: Final answer
    x = 735.43

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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.