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Finding the Fourth Proportional to 674.80, 947.60 and 674.80

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Solution

The fourth proportional to 674.80, 947.60 and 674.80 is: 947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.80 : 947.60 = 674.80 : x
  2. Step 2: Convert to fraction form
    674.80/947.60 = 674.80/x
  3. Step 3: Cross multiply
    674.80x = 947.60 × 674.80
  4. Step 4: Simplify right side
    674.80x = 639,440.48
  5. Step 5: Solve for x
    x = 639,440.48/674.80
  6. Step 6: Final answer
    x = 947.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.