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Finding the Fourth Proportional to 1,378.98, 1,903.06 and 789.72

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Solution

The fourth proportional to 1,378.98, 1,903.06 and 789.72 is: 1,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.98 : 1,903.06 = 789.72 : x
  2. Step 2: Convert to fraction form
    1,378.98/1,903.06 = 789.72/x
  3. Step 3: Cross multiply
    1,378.98x = 1,903.06 × 789.72
  4. Step 4: Simplify right side
    1,378.98x = 1,502,884.54
  5. Step 5: Solve for x
    x = 1,502,884.54/1,378.98
  6. Step 6: Final answer
    x = 1,089.85

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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.