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Finding the Fourth Proportional to 881.19, 1,322.58 and 470.67

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Solution

The fourth proportional to 881.19, 1,322.58 and 470.67 is: 706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.19 : 1,322.58 = 470.67 : x
  2. Step 2: Convert to fraction form
    881.19/1,322.58 = 470.67/x
  3. Step 3: Cross multiply
    881.19x = 1,322.58 × 470.67
  4. Step 4: Simplify right side
    881.19x = 622,498.73
  5. Step 5: Solve for x
    x = 622,498.73/881.19
  6. Step 6: Final answer
    x = 706.43

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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.