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Finding the Fourth Proportional to 1,438.07, 1,984.75 and 878.87

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Solution

The fourth proportional to 1,438.07, 1,984.75 and 878.87 is: 1,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.07 : 1,984.75 = 878.87 : x
  2. Step 2: Convert to fraction form
    1,438.07/1,984.75 = 878.87/x
  3. Step 3: Cross multiply
    1,438.07x = 1,984.75 × 878.87
  4. Step 4: Simplify right side
    1,438.07x = 1,744,327.31
  5. Step 5: Solve for x
    x = 1,744,327.31/1,438.07
  6. Step 6: Final answer
    x = 1,212.96

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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.