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Finding the Fourth Proportional to 862.94, 1,191.06 and 513.56

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Solution

The fourth proportional to 862.94, 1,191.06 and 513.56 is: 708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.94 : 1,191.06 = 513.56 : x
  2. Step 2: Convert to fraction form
    862.94/1,191.06 = 513.56/x
  3. Step 3: Cross multiply
    862.94x = 1,191.06 × 513.56
  4. Step 4: Simplify right side
    862.94x = 611,680.77
  5. Step 5: Solve for x
    x = 611,680.77/862.94
  6. Step 6: Final answer
    x = 708.83

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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.