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Finding the Fourth Proportional to 643.92, 889.56 and 635.28

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Solution

The fourth proportional to 643.92, 889.56 and 635.28 is: 877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.92 : 889.56 = 635.28 : x
  2. Step 2: Convert to fraction form
    643.92/889.56 = 635.28/x
  3. Step 3: Cross multiply
    643.92x = 889.56 × 635.28
  4. Step 4: Simplify right side
    643.92x = 565,119.68
  5. Step 5: Solve for x
    x = 565,119.68/643.92
  6. Step 6: Final answer
    x = 877.62

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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.