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Finding the Fourth Proportional to 1,182.94, 1,774.41 and 305.37

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Solution

The fourth proportional to 1,182.94, 1,774.41 and 305.37 is: 458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.94 : 1,774.41 = 305.37 : x
  2. Step 2: Convert to fraction form
    1,182.94/1,774.41 = 305.37/x
  3. Step 3: Cross multiply
    1,182.94x = 1,774.41 × 305.37
  4. Step 4: Simplify right side
    1,182.94x = 541,850.05
  5. Step 5: Solve for x
    x = 541,850.05/1,182.94
  6. Step 6: Final answer
    x = 458.05

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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.