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Finding the Fourth Proportional to 1,438.80, 2,158.20 and 451.69

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Solution

The fourth proportional to 1,438.80, 2,158.20 and 451.69 is: 677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.80 : 2,158.20 = 451.69 : x
  2. Step 2: Convert to fraction form
    1,438.80/2,158.20 = 451.69/x
  3. Step 3: Cross multiply
    1,438.80x = 2,158.20 × 451.69
  4. Step 4: Simplify right side
    1,438.80x = 974,837.36
  5. Step 5: Solve for x
    x = 974,837.36/1,438.80
  6. Step 6: Final answer
    x = 677.54

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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.