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Finding the Fourth Proportional to 1,230.21, 1,845.63 and 408.69

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Solution

The fourth proportional to 1,230.21, 1,845.63 and 408.69 is: 613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.21 : 1,845.63 = 408.69 : x
  2. Step 2: Convert to fraction form
    1,230.21/1,845.63 = 408.69/x
  3. Step 3: Cross multiply
    1,230.21x = 1,845.63 × 408.69
  4. Step 4: Simplify right side
    1,230.21x = 754,290.52
  5. Step 5: Solve for x
    x = 754,290.52/1,230.21
  6. Step 6: Final answer
    x = 613.14

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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.