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Finding the Fourth Proportional to 1,019.09, 1,406.09 and 599.41

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Solution

The fourth proportional to 1,019.09, 1,406.09 and 599.41 is: 827.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.09 : 1,406.09 = 599.41 : x
  2. Step 2: Convert to fraction form
    1,019.09/1,406.09 = 599.41/x
  3. Step 3: Cross multiply
    1,019.09x = 1,406.09 × 599.41
  4. Step 4: Simplify right side
    1,019.09x = 842,817.38
  5. Step 5: Solve for x
    x = 842,817.38/1,019.09
  6. Step 6: Final answer
    x = 827.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.