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Finding the Fourth Proportional to 1,180.74, 1,771.52 and 450.42

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Solution

The fourth proportional to 1,180.74, 1,771.52 and 450.42 is: 675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.74 : 1,771.52 = 450.42 : x
  2. Step 2: Convert to fraction form
    1,180.74/1,771.52 = 450.42/x
  3. Step 3: Cross multiply
    1,180.74x = 1,771.52 × 450.42
  4. Step 4: Simplify right side
    1,180.74x = 797,928.04
  5. Step 5: Solve for x
    x = 797,928.04/1,180.74
  6. Step 6: Final answer
    x = 675.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.