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Finding the Fourth Proportional to 1,281.71, 1,922.49 and 448.71

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Solution

The fourth proportional to 1,281.71, 1,922.49 and 448.71 is: 673.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.71 : 1,922.49 = 448.71 : x
  2. Step 2: Convert to fraction form
    1,281.71/1,922.49 = 448.71/x
  3. Step 3: Cross multiply
    1,281.71x = 1,922.49 × 448.71
  4. Step 4: Simplify right side
    1,281.71x = 862,644.17
  5. Step 5: Solve for x
    x = 862,644.17/1,281.71
  6. Step 6: Final answer
    x = 673.04

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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.