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Finding the Fourth Proportional to 1,183, 1,773.66 and 452.44

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Solution

The fourth proportional to 1,183, 1,773.66 and 452.44 is: 678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183 : 1,773.66 = 452.44 : x
  2. Step 2: Convert to fraction form
    1,183/1,773.66 = 452.44/x
  3. Step 3: Cross multiply
    1,183x = 1,773.66 × 452.44
  4. Step 4: Simplify right side
    1,183x = 802,474.73
  5. Step 5: Solve for x
    x = 802,474.73/1,183
  6. Step 6: Final answer
    x = 678.34

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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.