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Finding the Fourth Proportional to 881.39, 1,322.94 and 470.81

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Solution

The fourth proportional to 881.39, 1,322.94 and 470.81 is: 706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.39 : 1,322.94 = 470.81 : x
  2. Step 2: Convert to fraction form
    881.39/1,322.94 = 470.81/x
  3. Step 3: Cross multiply
    881.39x = 1,322.94 × 470.81
  4. Step 4: Simplify right side
    881.39x = 622,858.45
  5. Step 5: Solve for x
    x = 622,858.45/881.39
  6. Step 6: Final answer
    x = 706.68

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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.