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Finding the Fourth Proportional to 688.22, 1,032.34 and 255.14

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Solution

The fourth proportional to 688.22, 1,032.34 and 255.14 is: 382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.22 : 1,032.34 = 255.14 : x
  2. Step 2: Convert to fraction form
    688.22/1,032.34 = 255.14/x
  3. Step 3: Cross multiply
    688.22x = 1,032.34 × 255.14
  4. Step 4: Simplify right side
    688.22x = 263,391.23
  5. Step 5: Solve for x
    x = 263,391.23/688.22
  6. Step 6: Final answer
    x = 382.71

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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.