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Finding the Fourth Proportional to 675.80, 928.20 and 659.60

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Solution

The fourth proportional to 675.80, 928.20 and 659.60 is: 905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.80 : 928.20 = 659.60 : x
  2. Step 2: Convert to fraction form
    675.80/928.20 = 659.60/x
  3. Step 3: Cross multiply
    675.80x = 928.20 × 659.60
  4. Step 4: Simplify right side
    675.80x = 612,240.72
  5. Step 5: Solve for x
    x = 612,240.72/675.80
  6. Step 6: Final answer
    x = 905.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.