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Finding the Fourth Proportional to 1,378.62, 1,902.42 and 789.08

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Solution

The fourth proportional to 1,378.62, 1,902.42 and 789.08 is: 1,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.62 : 1,902.42 = 789.08 : x
  2. Step 2: Convert to fraction form
    1,378.62/1,902.42 = 789.08/x
  3. Step 3: Cross multiply
    1,378.62x = 1,902.42 × 789.08
  4. Step 4: Simplify right side
    1,378.62x = 1,501,152.06
  5. Step 5: Solve for x
    x = 1,501,152.06/1,378.62
  6. Step 6: Final answer
    x = 1,088.88

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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.