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Finding the Fourth Proportional to 886.18, 1,222.79 and 513.19

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Solution

The fourth proportional to 886.18, 1,222.79 and 513.19 is: 708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.18 : 1,222.79 = 513.19 : x
  2. Step 2: Convert to fraction form
    886.18/1,222.79 = 513.19/x
  3. Step 3: Cross multiply
    886.18x = 1,222.79 × 513.19
  4. Step 4: Simplify right side
    886.18x = 627,523.60
  5. Step 5: Solve for x
    x = 627,523.60/886.18
  6. Step 6: Final answer
    x = 708.12

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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.