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Finding the Fourth Proportional to 1,382.92, 1,908.42 and 761.92

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Solution

The fourth proportional to 1,382.92, 1,908.42 and 761.92 is: 1,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.92 : 1,908.42 = 761.92 : x
  2. Step 2: Convert to fraction form
    1,382.92/1,908.42 = 761.92/x
  3. Step 3: Cross multiply
    1,382.92x = 1,908.42 × 761.92
  4. Step 4: Simplify right side
    1,382.92x = 1,454,063.37
  5. Step 5: Solve for x
    x = 1,454,063.37/1,382.92
  6. Step 6: Final answer
    x = 1,051.44

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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.