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Finding the Fourth Proportional to 1,107.31, 1,659.72 and 449.03

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Solution

The fourth proportional to 1,107.31, 1,659.72 and 449.03 is: 673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.31 : 1,659.72 = 449.03 : x
  2. Step 2: Convert to fraction form
    1,107.31/1,659.72 = 449.03/x
  3. Step 3: Cross multiply
    1,107.31x = 1,659.72 × 449.03
  4. Step 4: Simplify right side
    1,107.31x = 745,269.90
  5. Step 5: Solve for x
    x = 745,269.90/1,107.31
  6. Step 6: Final answer
    x = 673.05

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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.