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Finding the Fourth Proportional to 1,097.67, 1,647.37 and 577.97

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Solution

The fourth proportional to 1,097.67, 1,647.37 and 577.97 is: 867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.67 : 1,647.37 = 577.97 : x
  2. Step 2: Convert to fraction form
    1,097.67/1,647.37 = 577.97/x
  3. Step 3: Cross multiply
    1,097.67x = 1,647.37 × 577.97
  4. Step 4: Simplify right side
    1,097.67x = 952,130.44
  5. Step 5: Solve for x
    x = 952,130.44/1,097.67
  6. Step 6: Final answer
    x = 867.41

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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.