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Finding the Fourth Proportional to 1,395.98, 1,926.11 and 806.51

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Solution

The fourth proportional to 1,395.98, 1,926.11 and 806.51 is: 1,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.98 : 1,926.11 = 806.51 : x
  2. Step 2: Convert to fraction form
    1,395.98/1,926.11 = 806.51/x
  3. Step 3: Cross multiply
    1,395.98x = 1,926.11 × 806.51
  4. Step 4: Simplify right side
    1,395.98x = 1,553,422.94
  5. Step 5: Solve for x
    x = 1,553,422.94/1,395.98
  6. Step 6: Final answer
    x = 1,112.78

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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.