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Finding the Fourth Proportional to 1,020.84, 1,530.69 and 327.39

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Solution

The fourth proportional to 1,020.84, 1,530.69 and 327.39 is: 490.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.84 : 1,530.69 = 327.39 : x
  2. Step 2: Convert to fraction form
    1,020.84/1,530.69 = 327.39/x
  3. Step 3: Cross multiply
    1,020.84x = 1,530.69 × 327.39
  4. Step 4: Simplify right side
    1,020.84x = 501,132.60
  5. Step 5: Solve for x
    x = 501,132.60/1,020.84
  6. Step 6: Final answer
    x = 490.90

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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.