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Finding the Fourth Proportional to 688.53, 1,032.83 and 226.27

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Solution

The fourth proportional to 688.53, 1,032.83 and 226.27 is: 339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.53 : 1,032.83 = 226.27 : x
  2. Step 2: Convert to fraction form
    688.53/1,032.83 = 226.27/x
  3. Step 3: Cross multiply
    688.53x = 1,032.83 × 226.27
  4. Step 4: Simplify right side
    688.53x = 233,698.44
  5. Step 5: Solve for x
    x = 233,698.44/688.53
  6. Step 6: Final answer
    x = 339.42

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Why These Related Problems?

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