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Finding the Fourth Proportional to 1,396.73, 2,095.58 and 519.50

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Solution

The fourth proportional to 1,396.73, 2,095.58 and 519.50 is: 779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.73 : 2,095.58 = 519.50 : x
  2. Step 2: Convert to fraction form
    1,396.73/2,095.58 = 519.50/x
  3. Step 3: Cross multiply
    1,396.73x = 2,095.58 × 519.50
  4. Step 4: Simplify right side
    1,396.73x = 1,088,660.35
  5. Step 5: Solve for x
    x = 1,088,660.35/1,396.73
  6. Step 6: Final answer
    x = 779.43

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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.