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Finding the Fourth Proportional to 1,056.44, 1,584.56 and 326.04

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Solution

The fourth proportional to 1,056.44, 1,584.56 and 326.04 is: 489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.44 : 1,584.56 = 326.04 : x
  2. Step 2: Convert to fraction form
    1,056.44/1,584.56 = 326.04/x
  3. Step 3: Cross multiply
    1,056.44x = 1,584.56 × 326.04
  4. Step 4: Simplify right side
    1,056.44x = 516,629.94
  5. Step 5: Solve for x
    x = 516,629.94/1,056.44
  6. Step 6: Final answer
    x = 489.03

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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.