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Finding the Fourth Proportional to 927.07, 1,383.56 and 889.39

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Solution

The fourth proportional to 927.07, 1,383.56 and 889.39 is: 1,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.07 : 1,383.56 = 889.39 : x
  2. Step 2: Convert to fraction form
    927.07/1,383.56 = 889.39/x
  3. Step 3: Cross multiply
    927.07x = 1,383.56 × 889.39
  4. Step 4: Simplify right side
    927.07x = 1,230,522.41
  5. Step 5: Solve for x
    x = 1,230,522.41/927.07
  6. Step 6: Final answer
    x = 1,327.33

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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.