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Finding the Fourth Proportional to 1,231.88, 1,848.02 and 409.88

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Solution

The fourth proportional to 1,231.88, 1,848.02 and 409.88 is: 614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.88 : 1,848.02 = 409.88 : x
  2. Step 2: Convert to fraction form
    1,231.88/1,848.02 = 409.88/x
  3. Step 3: Cross multiply
    1,231.88x = 1,848.02 × 409.88
  4. Step 4: Simplify right side
    1,231.88x = 757,466.44
  5. Step 5: Solve for x
    x = 757,466.44/1,231.88
  6. Step 6: Final answer
    x = 614.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.