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Finding the Fourth Proportional to 1,097.30, 1,645.47 and 327.62

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Solution

The fourth proportional to 1,097.30, 1,645.47 and 327.62 is: 491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.30 : 1,645.47 = 327.62 : x
  2. Step 2: Convert to fraction form
    1,097.30/1,645.47 = 327.62/x
  3. Step 3: Cross multiply
    1,097.30x = 1,645.47 × 327.62
  4. Step 4: Simplify right side
    1,097.30x = 539,088.88
  5. Step 5: Solve for x
    x = 539,088.88/1,097.30
  6. Step 6: Final answer
    x = 491.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.