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Finding the Fourth Proportional to 1,288, 1,932 and 376

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Solution

The fourth proportional to 1,288, 1,932 and 376 is: 564

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288 : 1,932 = 376 : x
  2. Step 2: Convert to fraction form
    1,288/1,932 = 376/x
  3. Step 3: Cross multiply
    1,288x = 1,932 × 376
  4. Step 4: Simplify right side
    1,288x = 726,432
  5. Step 5: Solve for x
    x = 726,432/1,288
  6. Step 6: Final answer
    x = 564

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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.