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Finding the Fourth Proportional to 1,020.69, 1,531.01 and 327.33

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Solution

The fourth proportional to 1,020.69, 1,531.01 and 327.33 is: 490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.69 : 1,531.01 = 327.33 : x
  2. Step 2: Convert to fraction form
    1,020.69/1,531.01 = 327.33/x
  3. Step 3: Cross multiply
    1,020.69x = 1,531.01 × 327.33
  4. Step 4: Simplify right side
    1,020.69x = 501,146.32
  5. Step 5: Solve for x
    x = 501,146.32/1,020.69
  6. Step 6: Final answer
    x = 490.99

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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.