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Finding the Fourth Proportional to 896.44, 1,237.46 and 771.61

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Solution

The fourth proportional to 896.44, 1,237.46 and 771.61 is: 1,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.44 : 1,237.46 = 771.61 : x
  2. Step 2: Convert to fraction form
    896.44/1,237.46 = 771.61/x
  3. Step 3: Cross multiply
    896.44x = 1,237.46 × 771.61
  4. Step 4: Simplify right side
    896.44x = 954,836.51
  5. Step 5: Solve for x
    x = 954,836.51/896.44
  6. Step 6: Final answer
    x = 1,065.14

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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.