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Finding the Fourth Proportional to 881.85, 1,215.50 and 632.78

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Solution

The fourth proportional to 881.85, 1,215.50 and 632.78 is: 872.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.85 : 1,215.50 = 632.78 : x
  2. Step 2: Convert to fraction form
    881.85/1,215.50 = 632.78/x
  3. Step 3: Cross multiply
    881.85x = 1,215.50 × 632.78
  4. Step 4: Simplify right side
    881.85x = 769,134.85
  5. Step 5: Solve for x
    x = 769,134.85/881.85
  6. Step 6: Final answer
    x = 872.18

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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.