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Finding the Fourth Proportional to 886.49, 1,223.24 and 513.48

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Solution

The fourth proportional to 886.49, 1,223.24 and 513.48 is: 708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.49 : 1,223.24 = 513.48 : x
  2. Step 2: Convert to fraction form
    886.49/1,223.24 = 513.48/x
  3. Step 3: Cross multiply
    886.49x = 1,223.24 × 513.48
  4. Step 4: Simplify right side
    886.49x = 628,111.29
  5. Step 5: Solve for x
    x = 628,111.29/886.49
  6. Step 6: Final answer
    x = 708.54

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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.