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Finding the Fourth Proportional to 886.36, 1,223.08 and 513.48

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Solution

The fourth proportional to 886.36, 1,223.08 and 513.48 is: 708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.36 : 1,223.08 = 513.48 : x
  2. Step 2: Convert to fraction form
    886.36/1,223.08 = 513.48/x
  3. Step 3: Cross multiply
    886.36x = 1,223.08 × 513.48
  4. Step 4: Simplify right side
    886.36x = 628,027.12
  5. Step 5: Solve for x
    x = 628,027.12/886.36
  6. Step 6: Final answer
    x = 708.55

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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.