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Finding the Fourth Proportional to 1,230.23, 1,844.92 and 352.49

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Solution

The fourth proportional to 1,230.23, 1,844.92 and 352.49 is: 528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.23 : 1,844.92 = 352.49 : x
  2. Step 2: Convert to fraction form
    1,230.23/1,844.92 = 352.49/x
  3. Step 3: Cross multiply
    1,230.23x = 1,844.92 × 352.49
  4. Step 4: Simplify right side
    1,230.23x = 650,321.64
  5. Step 5: Solve for x
    x = 650,321.64/1,230.23
  6. Step 6: Final answer
    x = 528.62

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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.