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Finding the Fourth Proportional to 1,384.34, 2,076.59 and 518.63

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Solution

The fourth proportional to 1,384.34, 2,076.59 and 518.63 is: 777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.34 : 2,076.59 = 518.63 : x
  2. Step 2: Convert to fraction form
    1,384.34/2,076.59 = 518.63/x
  3. Step 3: Cross multiply
    1,384.34x = 2,076.59 × 518.63
  4. Step 4: Simplify right side
    1,384.34x = 1,076,972.79
  5. Step 5: Solve for x
    x = 1,076,972.79/1,384.34
  6. Step 6: Final answer
    x = 777.97

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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.