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Finding the Fourth Proportional to 716.80, 968.40 and 716.80

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Solution

The fourth proportional to 716.80, 968.40 and 716.80 is: 968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.80 : 968.40 = 716.80 : x
  2. Step 2: Convert to fraction form
    716.80/968.40 = 716.80/x
  3. Step 3: Cross multiply
    716.80x = 968.40 × 716.80
  4. Step 4: Simplify right side
    716.80x = 694,149.12
  5. Step 5: Solve for x
    x = 694,149.12/716.80
  6. Step 6: Final answer
    x = 968.40

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.