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Finding the Fourth Proportional to 1,476.56, 2,037.60 and 855.44

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Solution

The fourth proportional to 1,476.56, 2,037.60 and 855.44 is: 1,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.56 : 2,037.60 = 855.44 : x
  2. Step 2: Convert to fraction form
    1,476.56/2,037.60 = 855.44/x
  3. Step 3: Cross multiply
    1,476.56x = 2,037.60 × 855.44
  4. Step 4: Simplify right side
    1,476.56x = 1,743,044.54
  5. Step 5: Solve for x
    x = 1,743,044.54/1,476.56
  6. Step 6: Final answer
    x = 1,180.48

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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.