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Finding the Fourth Proportional to 1,263.78, 1,896.44 and 442.67

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Solution

The fourth proportional to 1,263.78, 1,896.44 and 442.67 is: 664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.78 : 1,896.44 = 442.67 : x
  2. Step 2: Convert to fraction form
    1,263.78/1,896.44 = 442.67/x
  3. Step 3: Cross multiply
    1,263.78x = 1,896.44 × 442.67
  4. Step 4: Simplify right side
    1,263.78x = 839,485.40
  5. Step 5: Solve for x
    x = 839,485.40/1,263.78
  6. Step 6: Final answer
    x = 664.27

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Why These Related Problems?

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