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Finding the Fourth Proportional to 886.10, 1,222.67 and 513.09

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Solution

The fourth proportional to 886.10, 1,222.67 and 513.09 is: 707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.10 : 1,222.67 = 513.09 : x
  2. Step 2: Convert to fraction form
    886.10/1,222.67 = 513.09/x
  3. Step 3: Cross multiply
    886.10x = 1,222.67 × 513.09
  4. Step 4: Simplify right side
    886.10x = 627,337.18
  5. Step 5: Solve for x
    x = 627,337.18/886.10
  6. Step 6: Final answer
    x = 707.98

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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.