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Finding the Fourth Proportional to 1,231.86, 1,847.58 and 410.04

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Solution

The fourth proportional to 1,231.86, 1,847.58 and 410.04 is: 614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.86 : 1,847.58 = 410.04 : x
  2. Step 2: Convert to fraction form
    1,231.86/1,847.58 = 410.04/x
  3. Step 3: Cross multiply
    1,231.86x = 1,847.58 × 410.04
  4. Step 4: Simplify right side
    1,231.86x = 757,581.70
  5. Step 5: Solve for x
    x = 757,581.70/1,231.86
  6. Step 6: Final answer
    x = 614.99

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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.