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Finding the Fourth Proportional to 1,384.62, 2,077.38 and 519

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Solution

The fourth proportional to 1,384.62, 2,077.38 and 519 is: 778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.62 : 2,077.38 = 519 : x
  2. Step 2: Convert to fraction form
    1,384.62/2,077.38 = 519/x
  3. Step 3: Cross multiply
    1,384.62x = 2,077.38 × 519
  4. Step 4: Simplify right side
    1,384.62x = 1,078,160.22
  5. Step 5: Solve for x
    x = 1,078,160.22/1,384.62
  6. Step 6: Final answer
    x = 778.67

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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.