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Finding the Fourth Proportional to 1,382.40, 1,907.91 and 822.92

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Solution

The fourth proportional to 1,382.40, 1,907.91 and 822.92 is: 1,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.40 : 1,907.91 = 822.92 : x
  2. Step 2: Convert to fraction form
    1,382.40/1,907.91 = 822.92/x
  3. Step 3: Cross multiply
    1,382.40x = 1,907.91 × 822.92
  4. Step 4: Simplify right side
    1,382.40x = 1,570,057.30
  5. Step 5: Solve for x
    x = 1,570,057.30/1,382.40
  6. Step 6: Final answer
    x = 1,135.75

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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.