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Finding the Fourth Proportional to 703.40, 968.82 and 609.80

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Solution

The fourth proportional to 703.40, 968.82 and 609.80 is: 839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.40 : 968.82 = 609.80 : x
  2. Step 2: Convert to fraction form
    703.40/968.82 = 609.80/x
  3. Step 3: Cross multiply
    703.40x = 968.82 × 609.80
  4. Step 4: Simplify right side
    703.40x = 590,786.44
  5. Step 5: Solve for x
    x = 590,786.44/703.40
  6. Step 6: Final answer
    x = 839.90

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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.