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Finding the Fourth Proportional to 688.28, 1,032.83 and 255.74

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Solution

The fourth proportional to 688.28, 1,032.83 and 255.74 is: 383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.28 : 1,032.83 = 255.74 : x
  2. Step 2: Convert to fraction form
    688.28/1,032.83 = 255.74/x
  3. Step 3: Cross multiply
    688.28x = 1,032.83 × 255.74
  4. Step 4: Simplify right side
    688.28x = 264,135.94
  5. Step 5: Solve for x
    x = 264,135.94/688.28
  6. Step 6: Final answer
    x = 383.76

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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.