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Finding the Fourth Proportional to 1,285.70, 1,928.23 and 361.28

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Solution

The fourth proportional to 1,285.70, 1,928.23 and 361.28 is: 541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.70 : 1,928.23 = 361.28 : x
  2. Step 2: Convert to fraction form
    1,285.70/1,928.23 = 361.28/x
  3. Step 3: Cross multiply
    1,285.70x = 1,928.23 × 361.28
  4. Step 4: Simplify right side
    1,285.70x = 696,630.93
  5. Step 5: Solve for x
    x = 696,630.93/1,285.70
  6. Step 6: Final answer
    x = 541.83

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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.