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Finding the Fourth Proportional to 1,425.45, 1,967.11 and 827.90

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Solution

The fourth proportional to 1,425.45, 1,967.11 and 827.90 is: 1,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.45 : 1,967.11 = 827.90 : x
  2. Step 2: Convert to fraction form
    1,425.45/1,967.11 = 827.90/x
  3. Step 3: Cross multiply
    1,425.45x = 1,967.11 × 827.90
  4. Step 4: Simplify right side
    1,425.45x = 1,628,570.37
  5. Step 5: Solve for x
    x = 1,628,570.37/1,425.45
  6. Step 6: Final answer
    x = 1,142.50

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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.