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Finding the Fourth Proportional to 1,097, 1,643.44 and 548.54

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Solution

The fourth proportional to 1,097, 1,643.44 and 548.54 is: 821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097 : 1,643.44 = 548.54 : x
  2. Step 2: Convert to fraction form
    1,097/1,643.44 = 548.54/x
  3. Step 3: Cross multiply
    1,097x = 1,643.44 × 548.54
  4. Step 4: Simplify right side
    1,097x = 901,492.58
  5. Step 5: Solve for x
    x = 901,492.58/1,097
  6. Step 6: Final answer
    x = 821.78

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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.