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Finding the Fourth Proportional to 1,028.89, 1,537.85 and 896.09

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Solution

The fourth proportional to 1,028.89, 1,537.85 and 896.09 is: 1,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.89 : 1,537.85 = 896.09 : x
  2. Step 2: Convert to fraction form
    1,028.89/1,537.85 = 896.09/x
  3. Step 3: Cross multiply
    1,028.89x = 1,537.85 × 896.09
  4. Step 4: Simplify right side
    1,028.89x = 1,378,052.01
  5. Step 5: Solve for x
    x = 1,378,052.01/1,028.89
  6. Step 6: Final answer
    x = 1,339.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.