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Finding the Fourth Proportional to 1,378.30, 1,902.18 and 789.07

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Solution

The fourth proportional to 1,378.30, 1,902.18 and 789.07 is: 1,088.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.30 : 1,902.18 = 789.07 : x
  2. Step 2: Convert to fraction form
    1,378.30/1,902.18 = 789.07/x
  3. Step 3: Cross multiply
    1,378.30x = 1,902.18 × 789.07
  4. Step 4: Simplify right side
    1,378.30x = 1,500,953.17
  5. Step 5: Solve for x
    x = 1,500,953.17/1,378.30
  6. Step 6: Final answer
    x = 1,088.99

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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.