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Finding the Fourth Proportional to 1,366.16, 2,049.36 and 379.02

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Solution

The fourth proportional to 1,366.16, 2,049.36 and 379.02 is: 568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.16 : 2,049.36 = 379.02 : x
  2. Step 2: Convert to fraction form
    1,366.16/2,049.36 = 379.02/x
  3. Step 3: Cross multiply
    1,366.16x = 2,049.36 × 379.02
  4. Step 4: Simplify right side
    1,366.16x = 776,748.43
  5. Step 5: Solve for x
    x = 776,748.43/1,366.16
  6. Step 6: Final answer
    x = 568.56

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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.