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Finding the Fourth Proportional to 1,181.06, 1,771.50 and 303.56

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Solution

The fourth proportional to 1,181.06, 1,771.50 and 303.56 is: 455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.06 : 1,771.50 = 303.56 : x
  2. Step 2: Convert to fraction form
    1,181.06/1,771.50 = 303.56/x
  3. Step 3: Cross multiply
    1,181.06x = 1,771.50 × 303.56
  4. Step 4: Simplify right side
    1,181.06x = 537,756.54
  5. Step 5: Solve for x
    x = 537,756.54/1,181.06
  6. Step 6: Final answer
    x = 455.32

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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.