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Finding the Fourth Proportional to 1,020.87, 1,530.97 and 327.44

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Solution

The fourth proportional to 1,020.87, 1,530.97 and 327.44 is: 491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.87 : 1,530.97 = 327.44 : x
  2. Step 2: Convert to fraction form
    1,020.87/1,530.97 = 327.44/x
  3. Step 3: Cross multiply
    1,020.87x = 1,530.97 × 327.44
  4. Step 4: Simplify right side
    1,020.87x = 501,303.83
  5. Step 5: Solve for x
    x = 501,303.83/1,020.87
  6. Step 6: Final answer
    x = 491.06

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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.