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Finding the Fourth Proportional to 1,231.16, 1,846.52 and 409.30

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Solution

The fourth proportional to 1,231.16, 1,846.52 and 409.30 is: 613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.16 : 1,846.52 = 409.30 : x
  2. Step 2: Convert to fraction form
    1,231.16/1,846.52 = 409.30/x
  3. Step 3: Cross multiply
    1,231.16x = 1,846.52 × 409.30
  4. Step 4: Simplify right side
    1,231.16x = 755,780.64
  5. Step 5: Solve for x
    x = 755,780.64/1,231.16
  6. Step 6: Final answer
    x = 613.88

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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.