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Finding the Fourth Proportional to 1,366.08, 2,048.95 and 378.97

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Solution

The fourth proportional to 1,366.08, 2,048.95 and 378.97 is: 568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.08 : 2,048.95 = 378.97 : x
  2. Step 2: Convert to fraction form
    1,366.08/2,048.95 = 378.97/x
  3. Step 3: Cross multiply
    1,366.08x = 2,048.95 × 378.97
  4. Step 4: Simplify right side
    1,366.08x = 776,480.92
  5. Step 5: Solve for x
    x = 776,480.92/1,366.08
  6. Step 6: Final answer
    x = 568.40

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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.