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Finding the Fourth Proportional to 1,282.13, 1,923.48 and 449.31

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Solution

The fourth proportional to 1,282.13, 1,923.48 and 449.31 is: 674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.13 : 1,923.48 = 449.31 : x
  2. Step 2: Convert to fraction form
    1,282.13/1,923.48 = 449.31/x
  3. Step 3: Cross multiply
    1,282.13x = 1,923.48 × 449.31
  4. Step 4: Simplify right side
    1,282.13x = 864,246.01
  5. Step 5: Solve for x
    x = 864,246.01/1,282.13
  6. Step 6: Final answer
    x = 674.07

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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.