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Finding the Fourth Proportional to 1,264.06, 1,896.94 and 442.34

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Solution

The fourth proportional to 1,264.06, 1,896.94 and 442.34 is: 663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.06 : 1,896.94 = 442.34 : x
  2. Step 2: Convert to fraction form
    1,264.06/1,896.94 = 442.34/x
  3. Step 3: Cross multiply
    1,264.06x = 1,896.94 × 442.34
  4. Step 4: Simplify right side
    1,264.06x = 839,086.43
  5. Step 5: Solve for x
    x = 839,086.43/1,264.06
  6. Step 6: Final answer
    x = 663.80

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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.