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Finding the Fourth Proportional to 1,288, 1,932.12 and 557.44

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Solution

The fourth proportional to 1,288, 1,932.12 and 557.44 is: 836.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288 : 1,932.12 = 557.44 : x
  2. Step 2: Convert to fraction form
    1,288/1,932.12 = 557.44/x
  3. Step 3: Cross multiply
    1,288x = 1,932.12 × 557.44
  4. Step 4: Simplify right side
    1,288x = 1,077,040.97
  5. Step 5: Solve for x
    x = 1,077,040.97/1,288
  6. Step 6: Final answer
    x = 836.21

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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.