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Finding the Fourth Proportional to 1,288.52, 1,932.86 and 519

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Solution

The fourth proportional to 1,288.52, 1,932.86 and 519 is: 778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.52 : 1,932.86 = 519 : x
  2. Step 2: Convert to fraction form
    1,288.52/1,932.86 = 519/x
  3. Step 3: Cross multiply
    1,288.52x = 1,932.86 × 519
  4. Step 4: Simplify right side
    1,288.52x = 1,003,154.34
  5. Step 5: Solve for x
    x = 1,003,154.34/1,288.52
  6. Step 6: Final answer
    x = 778.53

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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.