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Finding the Fourth Proportional to 1,077.99, 1,616.99 and 428.73

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Solution

The fourth proportional to 1,077.99, 1,616.99 and 428.73 is: 643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.99 : 1,616.99 = 428.73 : x
  2. Step 2: Convert to fraction form
    1,077.99/1,616.99 = 428.73/x
  3. Step 3: Cross multiply
    1,077.99x = 1,616.99 × 428.73
  4. Step 4: Simplify right side
    1,077.99x = 693,243.92
  5. Step 5: Solve for x
    x = 693,243.92/1,077.99
  6. Step 6: Final answer
    x = 643.09

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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.