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Finding the Fourth Proportional to 896.05, 1,232.85 and 726.49

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Solution

The fourth proportional to 896.05, 1,232.85 and 726.49 is: 999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.05 : 1,232.85 = 726.49 : x
  2. Step 2: Convert to fraction form
    896.05/1,232.85 = 726.49/x
  3. Step 3: Cross multiply
    896.05x = 1,232.85 × 726.49
  4. Step 4: Simplify right side
    896.05x = 895,653.20
  5. Step 5: Solve for x
    x = 895,653.20/896.05
  6. Step 6: Final answer
    x = 999.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.