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Finding the Fourth Proportional to 825.68, 1,238.16 and 393.20

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Solution

The fourth proportional to 825.68, 1,238.16 and 393.20 is: 589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.68 : 1,238.16 = 393.20 : x
  2. Step 2: Convert to fraction form
    825.68/1,238.16 = 393.20/x
  3. Step 3: Cross multiply
    825.68x = 1,238.16 × 393.20
  4. Step 4: Simplify right side
    825.68x = 486,844.51
  5. Step 5: Solve for x
    x = 486,844.51/825.68
  6. Step 6: Final answer
    x = 589.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.