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Finding the Fourth Proportional to 1,299.71, 1,949.06 and 519.48

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Solution

The fourth proportional to 1,299.71, 1,949.06 and 519.48 is: 779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.71 : 1,949.06 = 519.48 : x
  2. Step 2: Convert to fraction form
    1,299.71/1,949.06 = 519.48/x
  3. Step 3: Cross multiply
    1,299.71x = 1,949.06 × 519.48
  4. Step 4: Simplify right side
    1,299.71x = 1,012,498.99
  5. Step 5: Solve for x
    x = 1,012,498.99/1,299.71
  6. Step 6: Final answer
    x = 779.02

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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.