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Finding the Fourth Proportional to 968.42, 1,336.40 and 548.80

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Solution

The fourth proportional to 968.42, 1,336.40 and 548.80 is: 757.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.42 : 1,336.40 = 548.80 : x
  2. Step 2: Convert to fraction form
    968.42/1,336.40 = 548.80/x
  3. Step 3: Cross multiply
    968.42x = 1,336.40 × 548.80
  4. Step 4: Simplify right side
    968.42x = 733,416.32
  5. Step 5: Solve for x
    x = 733,416.32/968.42
  6. Step 6: Final answer
    x = 757.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.