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Finding the Fourth Proportional to 700.72, 968.22 and 576.28

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Solution

The fourth proportional to 700.72, 968.22 and 576.28 is: 796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.72 : 968.22 = 576.28 : x
  2. Step 2: Convert to fraction form
    700.72/968.22 = 576.28/x
  3. Step 3: Cross multiply
    700.72x = 968.22 × 576.28
  4. Step 4: Simplify right side
    700.72x = 557,965.82
  5. Step 5: Solve for x
    x = 557,965.82/700.72
  6. Step 6: Final answer
    x = 796.28

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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.