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Finding the Fourth Proportional to 1,047.83, 1,571.72 and 267.86

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Solution

The fourth proportional to 1,047.83, 1,571.72 and 267.86 is: 401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.83 : 1,571.72 = 267.86 : x
  2. Step 2: Convert to fraction form
    1,047.83/1,571.72 = 267.86/x
  3. Step 3: Cross multiply
    1,047.83x = 1,571.72 × 267.86
  4. Step 4: Simplify right side
    1,047.83x = 420,991.72
  5. Step 5: Solve for x
    x = 420,991.72/1,047.83
  6. Step 6: Final answer
    x = 401.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.