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Finding the Fourth Proportional to 1,019.71, 1,529.46 and 326.38

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Solution

The fourth proportional to 1,019.71, 1,529.46 and 326.38 is: 489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.71 : 1,529.46 = 326.38 : x
  2. Step 2: Convert to fraction form
    1,019.71/1,529.46 = 326.38/x
  3. Step 3: Cross multiply
    1,019.71x = 1,529.46 × 326.38
  4. Step 4: Simplify right side
    1,019.71x = 499,185.15
  5. Step 5: Solve for x
    x = 499,185.15/1,019.71
  6. Step 6: Final answer
    x = 489.54

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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.