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Finding the Fourth Proportional to 1,097.02, 1,645.26 and 327.52

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Solution

The fourth proportional to 1,097.02, 1,645.26 and 327.52 is: 491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.02 : 1,645.26 = 327.52 : x
  2. Step 2: Convert to fraction form
    1,097.02/1,645.26 = 327.52/x
  3. Step 3: Cross multiply
    1,097.02x = 1,645.26 × 327.52
  4. Step 4: Simplify right side
    1,097.02x = 538,855.56
  5. Step 5: Solve for x
    x = 538,855.56/1,097.02
  6. Step 6: Final answer
    x = 491.20

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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.