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Finding the Fourth Proportional to 1,019.07, 1,406.33 and 599.43

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Solution

The fourth proportional to 1,019.07, 1,406.33 and 599.43 is: 827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.07 : 1,406.33 = 599.43 : x
  2. Step 2: Convert to fraction form
    1,019.07/1,406.33 = 599.43/x
  3. Step 3: Cross multiply
    1,019.07x = 1,406.33 × 599.43
  4. Step 4: Simplify right side
    1,019.07x = 842,993.39
  5. Step 5: Solve for x
    x = 842,993.39/1,019.07
  6. Step 6: Final answer
    x = 827.22

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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.