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Finding the Fourth Proportional to 1,019.89, 1,406.92 and 600.04

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Solution

The fourth proportional to 1,019.89, 1,406.92 and 600.04 is: 827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.89 : 1,406.92 = 600.04 : x
  2. Step 2: Convert to fraction form
    1,019.89/1,406.92 = 600.04/x
  3. Step 3: Cross multiply
    1,019.89x = 1,406.92 × 600.04
  4. Step 4: Simplify right side
    1,019.89x = 844,198.24
  5. Step 5: Solve for x
    x = 844,198.24/1,019.89
  6. Step 6: Final answer
    x = 827.74

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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.