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Finding the Fourth Proportional to 1,366.07, 2,049.26 and 378.95

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Solution

The fourth proportional to 1,366.07, 2,049.26 and 378.95 is: 568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.07 : 2,049.26 = 378.95 : x
  2. Step 2: Convert to fraction form
    1,366.07/2,049.26 = 378.95/x
  3. Step 3: Cross multiply
    1,366.07x = 2,049.26 × 378.95
  4. Step 4: Simplify right side
    1,366.07x = 776,554.94
  5. Step 5: Solve for x
    x = 776,554.94/1,366.07
  6. Step 6: Final answer
    x = 568.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.