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Finding the Fourth Proportional to 1,098.27, 1,647.71 and 449.46

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Solution

The fourth proportional to 1,098.27, 1,647.71 and 449.46 is: 674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.27 : 1,647.71 = 449.46 : x
  2. Step 2: Convert to fraction form
    1,098.27/1,647.71 = 449.46/x
  3. Step 3: Cross multiply
    1,098.27x = 1,647.71 × 449.46
  4. Step 4: Simplify right side
    1,098.27x = 740,579.17
  5. Step 5: Solve for x
    x = 740,579.17/1,098.27
  6. Step 6: Final answer
    x = 674.31

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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.