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Finding the Fourth Proportional to 1,190.25, 1,785.37 and 324.56

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Solution

The fourth proportional to 1,190.25, 1,785.37 and 324.56 is: 486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.25 : 1,785.37 = 324.56 : x
  2. Step 2: Convert to fraction form
    1,190.25/1,785.37 = 324.56/x
  3. Step 3: Cross multiply
    1,190.25x = 1,785.37 × 324.56
  4. Step 4: Simplify right side
    1,190.25x = 579,459.69
  5. Step 5: Solve for x
    x = 579,459.69/1,190.25
  6. Step 6: Final answer
    x = 486.84

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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.