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Finding the Fourth Proportional to 816.32, 1,221.13 and 679.55

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Solution

The fourth proportional to 816.32, 1,221.13 and 679.55 is: 1,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.32 : 1,221.13 = 679.55 : x
  2. Step 2: Convert to fraction form
    816.32/1,221.13 = 679.55/x
  3. Step 3: Cross multiply
    816.32x = 1,221.13 × 679.55
  4. Step 4: Simplify right side
    816.32x = 829,818.89
  5. Step 5: Solve for x
    x = 829,818.89/816.32
  6. Step 6: Final answer
    x = 1,016.54

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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.