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Finding the Fourth Proportional to 1,230.31, 1,845.74 and 408.54

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Solution

The fourth proportional to 1,230.31, 1,845.74 and 408.54 is: 612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.31 : 1,845.74 = 408.54 : x
  2. Step 2: Convert to fraction form
    1,230.31/1,845.74 = 408.54/x
  3. Step 3: Cross multiply
    1,230.31x = 1,845.74 × 408.54
  4. Step 4: Simplify right side
    1,230.31x = 754,058.62
  5. Step 5: Solve for x
    x = 754,058.62/1,230.31
  6. Step 6: Final answer
    x = 612.90

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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.