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Finding the Fourth Proportional to 1,263.26, 1,895 and 441.52

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Solution

The fourth proportional to 1,263.26, 1,895 and 441.52 is: 662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.26 : 1,895 = 441.52 : x
  2. Step 2: Convert to fraction form
    1,263.26/1,895 = 441.52/x
  3. Step 3: Cross multiply
    1,263.26x = 1,895 × 441.52
  4. Step 4: Simplify right side
    1,263.26x = 836,680.40
  5. Step 5: Solve for x
    x = 836,680.40/1,263.26
  6. Step 6: Final answer
    x = 662.32

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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.