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Finding the Fourth Proportional to 1,180.35, 1,771.20 and 450.54

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Solution

The fourth proportional to 1,180.35, 1,771.20 and 450.54 is: 676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.35 : 1,771.20 = 450.54 : x
  2. Step 2: Convert to fraction form
    1,180.35/1,771.20 = 450.54/x
  3. Step 3: Cross multiply
    1,180.35x = 1,771.20 × 450.54
  4. Step 4: Simplify right side
    1,180.35x = 797,996.45
  5. Step 5: Solve for x
    x = 797,996.45/1,180.35
  6. Step 6: Final answer
    x = 676.07

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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.