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Finding the Fourth Proportional to 886.61, 1,223.84 and 513.75

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Solution

The fourth proportional to 886.61, 1,223.84 and 513.75 is: 709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.61 : 1,223.84 = 513.75 : x
  2. Step 2: Convert to fraction form
    886.61/1,223.84 = 513.75/x
  3. Step 3: Cross multiply
    886.61x = 1,223.84 × 513.75
  4. Step 4: Simplify right side
    886.61x = 628,745.23
  5. Step 5: Solve for x
    x = 628,745.23/886.61
  6. Step 6: Final answer
    x = 709.16

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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.