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Finding the Fourth Proportional to 682.24, 940.68 and 582.64

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Solution

The fourth proportional to 682.24, 940.68 and 582.64 is: 803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.24 : 940.68 = 582.64 : x
  2. Step 2: Convert to fraction form
    682.24/940.68 = 582.64/x
  3. Step 3: Cross multiply
    682.24x = 940.68 × 582.64
  4. Step 4: Simplify right side
    682.24x = 548,077.80
  5. Step 5: Solve for x
    x = 548,077.80/682.24
  6. Step 6: Final answer
    x = 803.35

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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.