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Finding the Fourth Proportional to 1,096.78, 1,645.23 and 548.41

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Solution

The fourth proportional to 1,096.78, 1,645.23 and 548.41 is: 822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.78 : 1,645.23 = 548.41 : x
  2. Step 2: Convert to fraction form
    1,096.78/1,645.23 = 548.41/x
  3. Step 3: Cross multiply
    1,096.78x = 1,645.23 × 548.41
  4. Step 4: Simplify right side
    1,096.78x = 902,260.58
  5. Step 5: Solve for x
    x = 902,260.58/1,096.78
  6. Step 6: Final answer
    x = 822.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.