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Finding the Fourth Proportional to 1,299.85, 1,947.81 and 519.08

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Solution

The fourth proportional to 1,299.85, 1,947.81 and 519.08 is: 777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.85 : 1,947.81 = 519.08 : x
  2. Step 2: Convert to fraction form
    1,299.85/1,947.81 = 519.08/x
  3. Step 3: Cross multiply
    1,299.85x = 1,947.81 × 519.08
  4. Step 4: Simplify right side
    1,299.85x = 1,011,061.42
  5. Step 5: Solve for x
    x = 1,011,061.42/1,299.85
  6. Step 6: Final answer
    x = 777.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.