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Finding the Fourth Proportional to 688.97, 948.71 and 578.27

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Solution

The fourth proportional to 688.97, 948.71 and 578.27 is: 796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.97 : 948.71 = 578.27 : x
  2. Step 2: Convert to fraction form
    688.97/948.71 = 578.27/x
  3. Step 3: Cross multiply
    688.97x = 948.71 × 578.27
  4. Step 4: Simplify right side
    688.97x = 548,614.35
  5. Step 5: Solve for x
    x = 548,614.35/688.97
  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.