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Finding the Fourth Proportional to 1,385.34, 2,078.09 and 519.63

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Solution

The fourth proportional to 1,385.34, 2,078.09 and 519.63 is: 779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.34 : 2,078.09 = 519.63 : x
  2. Step 2: Convert to fraction form
    1,385.34/2,078.09 = 519.63/x
  3. Step 3: Cross multiply
    1,385.34x = 2,078.09 × 519.63
  4. Step 4: Simplify right side
    1,385.34x = 1,079,837.91
  5. Step 5: Solve for x
    x = 1,079,837.91/1,385.34
  6. Step 6: Final answer
    x = 779.48

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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.