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Finding the Fourth Proportional to 703.62, 965.66 and 685.26

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Solution

The fourth proportional to 703.62, 965.66 and 685.26 is: 940.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.62 : 965.66 = 685.26 : x
  2. Step 2: Convert to fraction form
    703.62/965.66 = 685.26/x
  3. Step 3: Cross multiply
    703.62x = 965.66 × 685.26
  4. Step 4: Simplify right side
    703.62x = 661,724.75
  5. Step 5: Solve for x
    x = 661,724.75/703.62
  6. Step 6: Final answer
    x = 940.46

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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.