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Finding the Fourth Proportional to 1,098.45, 1,646.69 and 449.64

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Solution

The fourth proportional to 1,098.45, 1,646.69 and 449.64 is: 674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.45 : 1,646.69 = 449.64 : x
  2. Step 2: Convert to fraction form
    1,098.45/1,646.69 = 449.64/x
  3. Step 3: Cross multiply
    1,098.45x = 1,646.69 × 449.64
  4. Step 4: Simplify right side
    1,098.45x = 740,415.44
  5. Step 5: Solve for x
    x = 740,415.44/1,098.45
  6. Step 6: Final answer
    x = 674.05

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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.