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Finding the Fourth Proportional to 1,230.49, 1,842.09 and 968.05

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Solution

The fourth proportional to 1,230.49, 1,842.09 and 968.05 is: 1,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.49 : 1,842.09 = 968.05 : x
  2. Step 2: Convert to fraction form
    1,230.49/1,842.09 = 968.05/x
  3. Step 3: Cross multiply
    1,230.49x = 1,842.09 × 968.05
  4. Step 4: Simplify right side
    1,230.49x = 1,783,235.22
  5. Step 5: Solve for x
    x = 1,783,235.22/1,230.49
  6. Step 6: Final answer
    x = 1,449.21

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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.