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Finding the Fourth Proportional to 1,098.30, 1,647.66 and 449.46

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Solution

The fourth proportional to 1,098.30, 1,647.66 and 449.46 is: 674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.30 : 1,647.66 = 449.46 : x
  2. Step 2: Convert to fraction form
    1,098.30/1,647.66 = 449.46/x
  3. Step 3: Cross multiply
    1,098.30x = 1,647.66 × 449.46
  4. Step 4: Simplify right side
    1,098.30x = 740,557.26
  5. Step 5: Solve for x
    x = 740,557.26/1,098.30
  6. Step 6: Final answer
    x = 674.28

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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.