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Finding the Fourth Proportional to 881.75, 1,322.23 and 470.78

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Solution

The fourth proportional to 881.75, 1,322.23 and 470.78 is: 705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.75 : 1,322.23 = 470.78 : x
  2. Step 2: Convert to fraction form
    881.75/1,322.23 = 470.78/x
  3. Step 3: Cross multiply
    881.75x = 1,322.23 × 470.78
  4. Step 4: Simplify right side
    881.75x = 622,479.44
  5. Step 5: Solve for x
    x = 622,479.44/881.75
  6. Step 6: Final answer
    x = 705.96

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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.