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Finding the Fourth Proportional to 1,218.96, 1,829.25 and 449.46

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Solution

The fourth proportional to 1,218.96, 1,829.25 and 449.46 is: 674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.96 : 1,829.25 = 449.46 : x
  2. Step 2: Convert to fraction form
    1,218.96/1,829.25 = 449.46/x
  3. Step 3: Cross multiply
    1,218.96x = 1,829.25 × 449.46
  4. Step 4: Simplify right side
    1,218.96x = 822,174.71
  5. Step 5: Solve for x
    x = 822,174.71/1,218.96
  6. Step 6: Final answer
    x = 674.49

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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.