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Finding the Fourth Proportional to 884.20, 1,323.78 and 588.16

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Solution

The fourth proportional to 884.20, 1,323.78 and 588.16 is: 880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.20 : 1,323.78 = 588.16 : x
  2. Step 2: Convert to fraction form
    884.20/1,323.78 = 588.16/x
  3. Step 3: Cross multiply
    884.20x = 1,323.78 × 588.16
  4. Step 4: Simplify right side
    884.20x = 778,594.44
  5. Step 5: Solve for x
    x = 778,594.44/884.20
  6. Step 6: Final answer
    x = 880.56

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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.