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Finding the Fourth Proportional to 896.70, 1,238.10 and 648.56

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Solution

The fourth proportional to 896.70, 1,238.10 and 648.56 is: 895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.70 : 1,238.10 = 648.56 : x
  2. Step 2: Convert to fraction form
    896.70/1,238.10 = 648.56/x
  3. Step 3: Cross multiply
    896.70x = 1,238.10 × 648.56
  4. Step 4: Simplify right side
    896.70x = 802,982.14
  5. Step 5: Solve for x
    x = 802,982.14/896.70
  6. Step 6: Final answer
    x = 895.49

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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.