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Finding the Fourth Proportional to 855.45, 1,283.22 and 490.14

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Solution

The fourth proportional to 855.45, 1,283.22 and 490.14 is: 735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.45 : 1,283.22 = 490.14 : x
  2. Step 2: Convert to fraction form
    855.45/1,283.22 = 490.14/x
  3. Step 3: Cross multiply
    855.45x = 1,283.22 × 490.14
  4. Step 4: Simplify right side
    855.45x = 628,957.45
  5. Step 5: Solve for x
    x = 628,957.45/855.45
  6. Step 6: Final answer
    x = 735.24

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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.