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Finding the Fourth Proportional to 1,097.31, 1,645.77 and 327.63

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Solution

The fourth proportional to 1,097.31, 1,645.77 and 327.63 is: 491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.31 : 1,645.77 = 327.63 : x
  2. Step 2: Convert to fraction form
    1,097.31/1,645.77 = 327.63/x
  3. Step 3: Cross multiply
    1,097.31x = 1,645.77 × 327.63
  4. Step 4: Simplify right side
    1,097.31x = 539,203.63
  5. Step 5: Solve for x
    x = 539,203.63/1,097.31
  6. Step 6: Final answer
    x = 491.39

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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.