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Finding the Fourth Proportional to 1,186.51, 1,778.49 and 775.93

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Solution

The fourth proportional to 1,186.51, 1,778.49 and 775.93 is: 1,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.51 : 1,778.49 = 775.93 : x
  2. Step 2: Convert to fraction form
    1,186.51/1,778.49 = 775.93/x
  3. Step 3: Cross multiply
    1,186.51x = 1,778.49 × 775.93
  4. Step 4: Simplify right side
    1,186.51x = 1,379,983.75
  5. Step 5: Solve for x
    x = 1,379,983.75/1,186.51
  6. Step 6: Final answer
    x = 1,163.06

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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.