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Finding the Fourth Proportional to 1,263.52, 1,895.13 and 441.73

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Solution

The fourth proportional to 1,263.52, 1,895.13 and 441.73 is: 662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.52 : 1,895.13 = 441.73 : x
  2. Step 2: Convert to fraction form
    1,263.52/1,895.13 = 441.73/x
  3. Step 3: Cross multiply
    1,263.52x = 1,895.13 × 441.73
  4. Step 4: Simplify right side
    1,263.52x = 837,135.77
  5. Step 5: Solve for x
    x = 837,135.77/1,263.52
  6. Step 6: Final answer
    x = 662.54

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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.