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Finding the Fourth Proportional to 703.49, 965.88 and 685.43

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Solution

The fourth proportional to 703.49, 965.88 and 685.43 is: 941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.49 : 965.88 = 685.43 : x
  2. Step 2: Convert to fraction form
    703.49/965.88 = 685.43/x
  3. Step 3: Cross multiply
    703.49x = 965.88 × 685.43
  4. Step 4: Simplify right side
    703.49x = 662,039.70
  5. Step 5: Solve for x
    x = 662,039.70/703.49
  6. Step 6: Final answer
    x = 941.08

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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.