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Finding the Fourth Proportional to 1,097.90, 1,647.16 and 449.10

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Solution

The fourth proportional to 1,097.90, 1,647.16 and 449.10 is: 673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.90 : 1,647.16 = 449.10 : x
  2. Step 2: Convert to fraction form
    1,097.90/1,647.16 = 449.10/x
  3. Step 3: Cross multiply
    1,097.90x = 1,647.16 × 449.10
  4. Step 4: Simplify right side
    1,097.90x = 739,739.56
  5. Step 5: Solve for x
    x = 739,739.56/1,097.90
  6. Step 6: Final answer
    x = 673.78

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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.