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Finding the Fourth Proportional to 1,382.05, 1,907.14 and 822.56

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Solution

The fourth proportional to 1,382.05, 1,907.14 and 822.56 is: 1,135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.05 : 1,907.14 = 822.56 : x
  2. Step 2: Convert to fraction form
    1,382.05/1,907.14 = 822.56/x
  3. Step 3: Cross multiply
    1,382.05x = 1,907.14 × 822.56
  4. Step 4: Simplify right side
    1,382.05x = 1,568,737.08
  5. Step 5: Solve for x
    x = 1,568,737.08/1,382.05
  6. Step 6: Final answer
    x = 1,135.08

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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.