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Finding the Fourth Proportional to 1,097.99, 1,647.59 and 449.18

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Solution

The fourth proportional to 1,097.99, 1,647.59 and 449.18 is: 674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.99 : 1,647.59 = 449.18 : x
  2. Step 2: Convert to fraction form
    1,097.99/1,647.59 = 449.18/x
  3. Step 3: Cross multiply
    1,097.99x = 1,647.59 × 449.18
  4. Step 4: Simplify right side
    1,097.99x = 740,062.70
  5. Step 5: Solve for x
    x = 740,062.70/1,097.99
  6. Step 6: Final answer
    x = 674.02

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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.