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Finding the Fourth Proportional to 863.09, 1,191.06 and 513.75

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Solution

The fourth proportional to 863.09, 1,191.06 and 513.75 is: 708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.09 : 1,191.06 = 513.75 : x
  2. Step 2: Convert to fraction form
    863.09/1,191.06 = 513.75/x
  3. Step 3: Cross multiply
    863.09x = 1,191.06 × 513.75
  4. Step 4: Simplify right side
    863.09x = 611,907.08
  5. Step 5: Solve for x
    x = 611,907.08/863.09
  6. Step 6: Final answer
    x = 708.98

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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.