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Finding the Fourth Proportional to 862.87, 1,190.77 and 513.57

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Solution

The fourth proportional to 862.87, 1,190.77 and 513.57 is: 708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.87 : 1,190.77 = 513.57 : x
  2. Step 2: Convert to fraction form
    862.87/1,190.77 = 513.57/x
  3. Step 3: Cross multiply
    862.87x = 1,190.77 × 513.57
  4. Step 4: Simplify right side
    862.87x = 611,541.18
  5. Step 5: Solve for x
    x = 611,541.18/862.87
  6. Step 6: Final answer
    x = 708.73

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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.