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Finding the Fourth Proportional to 1,438.49, 1,985.90 and 879.08

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Solution

The fourth proportional to 1,438.49, 1,985.90 and 879.08 is: 1,213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.49 : 1,985.90 = 879.08 : x
  2. Step 2: Convert to fraction form
    1,438.49/1,985.90 = 879.08/x
  3. Step 3: Cross multiply
    1,438.49x = 1,985.90 × 879.08
  4. Step 4: Simplify right side
    1,438.49x = 1,745,764.97
  5. Step 5: Solve for x
    x = 1,745,764.97/1,438.49
  6. Step 6: Final answer
    x = 1,213.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.