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Finding the Fourth Proportional to 1,233.58, 1,850.82 and 454.09

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Solution

The fourth proportional to 1,233.58, 1,850.82 and 454.09 is: 681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.58 : 1,850.82 = 454.09 : x
  2. Step 2: Convert to fraction form
    1,233.58/1,850.82 = 454.09/x
  3. Step 3: Cross multiply
    1,233.58x = 1,850.82 × 454.09
  4. Step 4: Simplify right side
    1,233.58x = 840,434.23
  5. Step 5: Solve for x
    x = 840,434.23/1,233.58
  6. Step 6: Final answer
    x = 681.30

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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.