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Finding the Fourth Proportional to 1,096.56, 1,645.36 and 548.80

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Solution

The fourth proportional to 1,096.56, 1,645.36 and 548.80 is: 823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.56 : 1,645.36 = 548.80 : x
  2. Step 2: Convert to fraction form
    1,096.56/1,645.36 = 548.80/x
  3. Step 3: Cross multiply
    1,096.56x = 1,645.36 × 548.80
  4. Step 4: Simplify right side
    1,096.56x = 902,973.57
  5. Step 5: Solve for x
    x = 902,973.57/1,096.56
  6. Step 6: Final answer
    x = 823.46

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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.