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Finding the Fourth Proportional to 1,190.13, 1,785.13 and 324.38

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Solution

The fourth proportional to 1,190.13, 1,785.13 and 324.38 is: 486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.13 : 1,785.13 = 324.38 : x
  2. Step 2: Convert to fraction form
    1,190.13/1,785.13 = 324.38/x
  3. Step 3: Cross multiply
    1,190.13x = 1,785.13 × 324.38
  4. Step 4: Simplify right side
    1,190.13x = 579,050.73
  5. Step 5: Solve for x
    x = 579,050.73/1,190.13
  6. Step 6: Final answer
    x = 486.54

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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.