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Finding the Fourth Proportional to 1,186.77, 1,778.92 and 406.54

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Solution

The fourth proportional to 1,186.77, 1,778.92 and 406.54 is: 609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.77 : 1,778.92 = 406.54 : x
  2. Step 2: Convert to fraction form
    1,186.77/1,778.92 = 406.54/x
  3. Step 3: Cross multiply
    1,186.77x = 1,778.92 × 406.54
  4. Step 4: Simplify right side
    1,186.77x = 723,196.67
  5. Step 5: Solve for x
    x = 723,196.67/1,186.77
  6. Step 6: Final answer
    x = 609.38

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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.