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Finding the Fourth Proportional to 682.24, 940.80 and 636.16

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Solution

The fourth proportional to 682.24, 940.80 and 636.16 is: 877.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.24 : 940.80 = 636.16 : x
  2. Step 2: Convert to fraction form
    682.24/940.80 = 636.16/x
  3. Step 3: Cross multiply
    682.24x = 940.80 × 636.16
  4. Step 4: Simplify right side
    682.24x = 598,499.33
  5. Step 5: Solve for x
    x = 598,499.33/682.24
  6. Step 6: Final answer
    x = 877.26

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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.