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Finding the Fourth Proportional to 1,231.94, 1,848.09 and 410.03

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Solution

The fourth proportional to 1,231.94, 1,848.09 and 410.03 is: 615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.94 : 1,848.09 = 410.03 : x
  2. Step 2: Convert to fraction form
    1,231.94/1,848.09 = 410.03/x
  3. Step 3: Cross multiply
    1,231.94x = 1,848.09 × 410.03
  4. Step 4: Simplify right side
    1,231.94x = 757,763.10
  5. Step 5: Solve for x
    x = 757,763.10/1,231.94
  6. Step 6: Final answer
    x = 615.10

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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.