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Finding the Fourth Proportional to 862.33, 1,190.19 and 513.22

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Solution

The fourth proportional to 862.33, 1,190.19 and 513.22 is: 708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.33 : 1,190.19 = 513.22 : x
  2. Step 2: Convert to fraction form
    862.33/1,190.19 = 513.22/x
  3. Step 3: Cross multiply
    862.33x = 1,190.19 × 513.22
  4. Step 4: Simplify right side
    862.33x = 610,829.31
  5. Step 5: Solve for x
    x = 610,829.31/862.33
  6. Step 6: Final answer
    x = 708.35

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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.