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Finding the Fourth Proportional to 1,384.25, 2,076.77 and 518.63

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Solution

The fourth proportional to 1,384.25, 2,076.77 and 518.63 is: 778.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.25 : 2,076.77 = 518.63 : x
  2. Step 2: Convert to fraction form
    1,384.25/2,076.77 = 518.63/x
  3. Step 3: Cross multiply
    1,384.25x = 2,076.77 × 518.63
  4. Step 4: Simplify right side
    1,384.25x = 1,077,066.14
  5. Step 5: Solve for x
    x = 1,077,066.14/1,384.25
  6. Step 6: Final answer
    x = 778.09

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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.