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Finding the Fourth Proportional to 881.91, 1,216.19 and 642.41

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Solution

The fourth proportional to 881.91, 1,216.19 and 642.41 is: 885.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.91 : 1,216.19 = 642.41 : x
  2. Step 2: Convert to fraction form
    881.91/1,216.19 = 642.41/x
  3. Step 3: Cross multiply
    881.91x = 1,216.19 × 642.41
  4. Step 4: Simplify right side
    881.91x = 781,294.86
  5. Step 5: Solve for x
    x = 781,294.86/881.91
  6. Step 6: Final answer
    x = 885.91

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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.