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Finding the Fourth Proportional to 1,020.87, 1,531.32 and 327.54

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Solution

The fourth proportional to 1,020.87, 1,531.32 and 327.54 is: 491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.87 : 1,531.32 = 327.54 : x
  2. Step 2: Convert to fraction form
    1,020.87/1,531.32 = 327.54/x
  3. Step 3: Cross multiply
    1,020.87x = 1,531.32 × 327.54
  4. Step 4: Simplify right side
    1,020.87x = 501,568.55
  5. Step 5: Solve for x
    x = 501,568.55/1,020.87
  6. Step 6: Final answer
    x = 491.31

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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.