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Finding the Fourth Proportional to 701.57, 967.21 and 680.04

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Solution

The fourth proportional to 701.57, 967.21 and 680.04 is: 937.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.57 : 967.21 = 680.04 : x
  2. Step 2: Convert to fraction form
    701.57/967.21 = 680.04/x
  3. Step 3: Cross multiply
    701.57x = 967.21 × 680.04
  4. Step 4: Simplify right side
    701.57x = 657,739.79
  5. Step 5: Solve for x
    x = 657,739.79/701.57
  6. Step 6: Final answer
    x = 937.52

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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.