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Finding the Fourth Proportional to 1,183.06, 1,774.50 and 305.56

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Solution

The fourth proportional to 1,183.06, 1,774.50 and 305.56 is: 458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.06 : 1,774.50 = 305.56 : x
  2. Step 2: Convert to fraction form
    1,183.06/1,774.50 = 305.56/x
  3. Step 3: Cross multiply
    1,183.06x = 1,774.50 × 305.56
  4. Step 4: Simplify right side
    1,183.06x = 542,216.22
  5. Step 5: Solve for x
    x = 542,216.22/1,183.06
  6. Step 6: Final answer
    x = 458.32

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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.