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Finding the Fourth Proportional to 1,190.48, 1,785.60 and 324.78

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Solution

The fourth proportional to 1,190.48, 1,785.60 and 324.78 is: 487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.48 : 1,785.60 = 324.78 : x
  2. Step 2: Convert to fraction form
    1,190.48/1,785.60 = 324.78/x
  3. Step 3: Cross multiply
    1,190.48x = 1,785.60 × 324.78
  4. Step 4: Simplify right side
    1,190.48x = 579,927.17
  5. Step 5: Solve for x
    x = 579,927.17/1,190.48
  6. Step 6: Final answer
    x = 487.14

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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.