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Finding the Fourth Proportional to 1,233.47, 1,850.22 and 453.49

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Solution

The fourth proportional to 1,233.47, 1,850.22 and 453.49 is: 680.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.47 : 1,850.22 = 453.49 : x
  2. Step 2: Convert to fraction form
    1,233.47/1,850.22 = 453.49/x
  3. Step 3: Cross multiply
    1,233.47x = 1,850.22 × 453.49
  4. Step 4: Simplify right side
    1,233.47x = 839,056.27
  5. Step 5: Solve for x
    x = 839,056.27/1,233.47
  6. Step 6: Final answer
    x = 680.24

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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.