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Finding the Fourth Proportional to 886.14, 1,222.86 and 513.09

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Solution

The fourth proportional to 886.14, 1,222.86 and 513.09 is: 708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.14 : 1,222.86 = 513.09 : x
  2. Step 2: Convert to fraction form
    886.14/1,222.86 = 513.09/x
  3. Step 3: Cross multiply
    886.14x = 1,222.86 × 513.09
  4. Step 4: Simplify right side
    886.14x = 627,437.24
  5. Step 5: Solve for x
    x = 627,437.24/886.14
  6. Step 6: Final answer
    x = 708.06

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Why These Related Problems?

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