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Finding the Fourth Proportional to 1,233.22, 1,850.31 and 463.54

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Solution

The fourth proportional to 1,233.22, 1,850.31 and 463.54 is: 695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.22 : 1,850.31 = 463.54 : x
  2. Step 2: Convert to fraction form
    1,233.22/1,850.31 = 463.54/x
  3. Step 3: Cross multiply
    1,233.22x = 1,850.31 × 463.54
  4. Step 4: Simplify right side
    1,233.22x = 857,692.70
  5. Step 5: Solve for x
    x = 857,692.70/1,233.22
  6. Step 6: Final answer
    x = 695.49

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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.