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Finding the Fourth Proportional to 701.98, 968.58 and 480.88

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Solution

The fourth proportional to 701.98, 968.58 and 480.88 is: 663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.98 : 968.58 = 480.88 : x
  2. Step 2: Convert to fraction form
    701.98/968.58 = 480.88/x
  3. Step 3: Cross multiply
    701.98x = 968.58 × 480.88
  4. Step 4: Simplify right side
    701.98x = 465,770.75
  5. Step 5: Solve for x
    x = 465,770.75/701.98
  6. Step 6: Final answer
    x = 663.51

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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.