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Finding the Fourth Proportional to 881.96, 1,323.06 and 448.88

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Solution

The fourth proportional to 881.96, 1,323.06 and 448.88 is: 673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.96 : 1,323.06 = 448.88 : x
  2. Step 2: Convert to fraction form
    881.96/1,323.06 = 448.88/x
  3. Step 3: Cross multiply
    881.96x = 1,323.06 × 448.88
  4. Step 4: Simplify right side
    881.96x = 593,895.17
  5. Step 5: Solve for x
    x = 593,895.17/881.96
  6. Step 6: Final answer
    x = 673.38

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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.