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Finding the Fourth Proportional to 1,056.04, 1,584.08 and 325.61

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Solution

The fourth proportional to 1,056.04, 1,584.08 and 325.61 is: 488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.04 : 1,584.08 = 325.61 : x
  2. Step 2: Convert to fraction form
    1,056.04/1,584.08 = 325.61/x
  3. Step 3: Cross multiply
    1,056.04x = 1,584.08 × 325.61
  4. Step 4: Simplify right side
    1,056.04x = 515,790.66
  5. Step 5: Solve for x
    x = 515,790.66/1,056.04
  6. Step 6: Final answer
    x = 488.42

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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.