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Finding the Fourth Proportional to 1,229.34, 1,844.14 and 449.58

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Solution

The fourth proportional to 1,229.34, 1,844.14 and 449.58 is: 674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.34 : 1,844.14 = 449.58 : x
  2. Step 2: Convert to fraction form
    1,229.34/1,844.14 = 449.58/x
  3. Step 3: Cross multiply
    1,229.34x = 1,844.14 × 449.58
  4. Step 4: Simplify right side
    1,229.34x = 829,088.46
  5. Step 5: Solve for x
    x = 829,088.46/1,229.34
  6. Step 6: Final answer
    x = 674.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.