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Finding the Fourth Proportional to 1,288.50, 1,933.65 and 519

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Solution

The fourth proportional to 1,288.50, 1,933.65 and 519 is: 778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.50 : 1,933.65 = 519 : x
  2. Step 2: Convert to fraction form
    1,288.50/1,933.65 = 519/x
  3. Step 3: Cross multiply
    1,288.50x = 1,933.65 × 519
  4. Step 4: Simplify right side
    1,288.50x = 1,003,564.35
  5. Step 5: Solve for x
    x = 1,003,564.35/1,288.50
  6. Step 6: Final answer
    x = 778.86

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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.