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Finding the Fourth Proportional to 1,020.51, 1,530.75 and 327.17

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Solution

The fourth proportional to 1,020.51, 1,530.75 and 327.17 is: 490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.51 : 1,530.75 = 327.17 : x
  2. Step 2: Convert to fraction form
    1,020.51/1,530.75 = 327.17/x
  3. Step 3: Cross multiply
    1,020.51x = 1,530.75 × 327.17
  4. Step 4: Simplify right side
    1,020.51x = 500,815.48
  5. Step 5: Solve for x
    x = 500,815.48/1,020.51
  6. Step 6: Final answer
    x = 490.75

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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.