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Finding the Fourth Proportional to 1,190.55, 1,785.60 and 324.93

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Solution

The fourth proportional to 1,190.55, 1,785.60 and 324.93 is: 487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.55 : 1,785.60 = 324.93 : x
  2. Step 2: Convert to fraction form
    1,190.55/1,785.60 = 324.93/x
  3. Step 3: Cross multiply
    1,190.55x = 1,785.60 × 324.93
  4. Step 4: Simplify right side
    1,190.55x = 580,195.01
  5. Step 5: Solve for x
    x = 580,195.01/1,190.55
  6. Step 6: Final answer
    x = 487.33

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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.