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Finding the Fourth Proportional to 1,076.33, 1,485.39 and 634.37

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Solution

The fourth proportional to 1,076.33, 1,485.39 and 634.37 is: 875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.33 : 1,485.39 = 634.37 : x
  2. Step 2: Convert to fraction form
    1,076.33/1,485.39 = 634.37/x
  3. Step 3: Cross multiply
    1,076.33x = 1,485.39 × 634.37
  4. Step 4: Simplify right side
    1,076.33x = 942,286.85
  5. Step 5: Solve for x
    x = 942,286.85/1,076.33
  6. Step 6: Final answer
    x = 875.46

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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.