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Finding the Fourth Proportional to 1,190.73, 1,785.96 and 324.84

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Solution

The fourth proportional to 1,190.73, 1,785.96 and 324.84 is: 487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.73 : 1,785.96 = 324.84 : x
  2. Step 2: Convert to fraction form
    1,190.73/1,785.96 = 324.84/x
  3. Step 3: Cross multiply
    1,190.73x = 1,785.96 × 324.84
  4. Step 4: Simplify right side
    1,190.73x = 580,151.25
  5. Step 5: Solve for x
    x = 580,151.25/1,190.73
  6. Step 6: Final answer
    x = 487.22

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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.