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Finding the Fourth Proportional to 1,181.73, 1,773.51 and 951.19

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Solution

The fourth proportional to 1,181.73, 1,773.51 and 951.19 is: 1,427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.73 : 1,773.51 = 951.19 : x
  2. Step 2: Convert to fraction form
    1,181.73/1,773.51 = 951.19/x
  3. Step 3: Cross multiply
    1,181.73x = 1,773.51 × 951.19
  4. Step 4: Simplify right side
    1,181.73x = 1,686,940.54
  5. Step 5: Solve for x
    x = 1,686,940.54/1,181.73
  6. Step 6: Final answer
    x = 1,427.52

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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.