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Finding the Fourth Proportional to 881.87, 1,322.95 and 296.92

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Solution

The fourth proportional to 881.87, 1,322.95 and 296.92 is: 445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.87 : 1,322.95 = 296.92 : x
  2. Step 2: Convert to fraction form
    881.87/1,322.95 = 296.92/x
  3. Step 3: Cross multiply
    881.87x = 1,322.95 × 296.92
  4. Step 4: Simplify right side
    881.87x = 392,810.31
  5. Step 5: Solve for x
    x = 392,810.31/881.87
  6. Step 6: Final answer
    x = 445.43

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