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Finding the Fourth Proportional to 1,190.77, 1,786.26 and 410.92

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Solution

The fourth proportional to 1,190.77, 1,786.26 and 410.92 is: 616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.77 : 1,786.26 = 410.92 : x
  2. Step 2: Convert to fraction form
    1,190.77/1,786.26 = 410.92/x
  3. Step 3: Cross multiply
    1,190.77x = 1,786.26 × 410.92
  4. Step 4: Simplify right side
    1,190.77x = 734,009.96
  5. Step 5: Solve for x
    x = 734,009.96/1,190.77
  6. Step 6: Final answer
    x = 616.42

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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.