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Finding the Fourth Proportional to 886.47, 1,223.36 and 513.56

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Solution

The fourth proportional to 886.47, 1,223.36 and 513.56 is: 708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.47 : 1,223.36 = 513.56 : x
  2. Step 2: Convert to fraction form
    886.47/1,223.36 = 513.56/x
  3. Step 3: Cross multiply
    886.47x = 1,223.36 × 513.56
  4. Step 4: Simplify right side
    886.47x = 628,260.08
  5. Step 5: Solve for x
    x = 628,260.08/886.47
  6. Step 6: Final answer
    x = 708.72

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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.