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Finding the Fourth Proportional to 1,186.81, 1,780.21 and 321.12

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Solution

The fourth proportional to 1,186.81, 1,780.21 and 321.12 is: 481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.81 : 1,780.21 = 321.12 : x
  2. Step 2: Convert to fraction form
    1,186.81/1,780.21 = 321.12/x
  3. Step 3: Cross multiply
    1,186.81x = 1,780.21 × 321.12
  4. Step 4: Simplify right side
    1,186.81x = 571,661.04
  5. Step 5: Solve for x
    x = 571,661.04/1,186.81
  6. Step 6: Final answer
    x = 481.68

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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.