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Finding the Fourth Proportional to 881.82, 1,322.92 and 296.84

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Solution

The fourth proportional to 881.82, 1,322.92 and 296.84 is: 445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.82 : 1,322.92 = 296.84 : x
  2. Step 2: Convert to fraction form
    881.82/1,322.92 = 296.84/x
  3. Step 3: Cross multiply
    881.82x = 1,322.92 × 296.84
  4. Step 4: Simplify right side
    881.82x = 392,695.57
  5. Step 5: Solve for x
    x = 392,695.57/881.82
  6. Step 6: Final answer
    x = 445.33

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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.