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Finding the Fourth Proportional to 1,378.46, 1,902.44 and 854.50

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Solution

The fourth proportional to 1,378.46, 1,902.44 and 854.50 is: 1,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.46 : 1,902.44 = 854.50 : x
  2. Step 2: Convert to fraction form
    1,378.46/1,902.44 = 854.50/x
  3. Step 3: Cross multiply
    1,378.46x = 1,902.44 × 854.50
  4. Step 4: Simplify right side
    1,378.46x = 1,625,634.98
  5. Step 5: Solve for x
    x = 1,625,634.98/1,378.46
  6. Step 6: Final answer
    x = 1,179.31

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Why These Related Problems?

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