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Finding the Fourth Proportional to 1,299.69, 1,950.47 and 519.24

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Solution

The fourth proportional to 1,299.69, 1,950.47 and 519.24 is: 779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.69 : 1,950.47 = 519.24 : x
  2. Step 2: Convert to fraction form
    1,299.69/1,950.47 = 519.24/x
  3. Step 3: Cross multiply
    1,299.69x = 1,950.47 × 519.24
  4. Step 4: Simplify right side
    1,299.69x = 1,012,761.39
  5. Step 5: Solve for x
    x = 1,012,761.39/1,299.69
  6. Step 6: Final answer
    x = 779.23

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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.