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Finding the Fourth Proportional to 896.87, 1,236.57 and 740.14

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Solution

The fourth proportional to 896.87, 1,236.57 and 740.14 is: 1,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.87 : 1,236.57 = 740.14 : x
  2. Step 2: Convert to fraction form
    896.87/1,236.57 = 740.14/x
  3. Step 3: Cross multiply
    896.87x = 1,236.57 × 740.14
  4. Step 4: Simplify right side
    896.87x = 915,229.05
  5. Step 5: Solve for x
    x = 915,229.05/896.87
  6. Step 6: Final answer
    x = 1,020.47

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Why These Related Problems?

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