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Finding the Fourth Proportional to 1,098.15, 1,647.83 and 449.34

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Solution

The fourth proportional to 1,098.15, 1,647.83 and 449.34 is: 674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.15 : 1,647.83 = 449.34 : x
  2. Step 2: Convert to fraction form
    1,098.15/1,647.83 = 449.34/x
  3. Step 3: Cross multiply
    1,098.15x = 1,647.83 × 449.34
  4. Step 4: Simplify right side
    1,098.15x = 740,435.93
  5. Step 5: Solve for x
    x = 740,435.93/1,098.15
  6. Step 6: Final answer
    x = 674.26

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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.