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Finding the Fourth Proportional to 688.82, 1,033.65 and 255.96

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Solution

The fourth proportional to 688.82, 1,033.65 and 255.96 is: 384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.82 : 1,033.65 = 255.96 : x
  2. Step 2: Convert to fraction form
    688.82/1,033.65 = 255.96/x
  3. Step 3: Cross multiply
    688.82x = 1,033.65 × 255.96
  4. Step 4: Simplify right side
    688.82x = 264,573.05
  5. Step 5: Solve for x
    x = 264,573.05/688.82
  6. Step 6: Final answer
    x = 384.10

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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.