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Finding the Fourth Proportional to 881.43, 1,215.14 and 632.33

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Solution

The fourth proportional to 881.43, 1,215.14 and 632.33 is: 871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.43 : 1,215.14 = 632.33 : x
  2. Step 2: Convert to fraction form
    881.43/1,215.14 = 632.33/x
  3. Step 3: Cross multiply
    881.43x = 1,215.14 × 632.33
  4. Step 4: Simplify right side
    881.43x = 768,369.35
  5. Step 5: Solve for x
    x = 768,369.35/881.43
  6. Step 6: Final answer
    x = 871.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.