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Finding the Fourth Proportional to 968.56, 1,451.28 and 558.16

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Solution

The fourth proportional to 968.56, 1,451.28 and 558.16 is: 836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.56 : 1,451.28 = 558.16 : x
  2. Step 2: Convert to fraction form
    968.56/1,451.28 = 558.16/x
  3. Step 3: Cross multiply
    968.56x = 1,451.28 × 558.16
  4. Step 4: Simplify right side
    968.56x = 810,046.44
  5. Step 5: Solve for x
    x = 810,046.44/968.56
  6. Step 6: Final answer
    x = 836.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.