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Finding the Fourth Proportional to 1,233.01, 1,850.24 and 492.49

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Solution

The fourth proportional to 1,233.01, 1,850.24 and 492.49 is: 739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.01 : 1,850.24 = 492.49 : x
  2. Step 2: Convert to fraction form
    1,233.01/1,850.24 = 492.49/x
  3. Step 3: Cross multiply
    1,233.01x = 1,850.24 × 492.49
  4. Step 4: Simplify right side
    1,233.01x = 911,224.70
  5. Step 5: Solve for x
    x = 911,224.70/1,233.01
  6. Step 6: Final answer
    x = 739.02

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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.