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Finding the Fourth Proportional to 862.12, 1,189.98 and 513.04

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Solution

The fourth proportional to 862.12, 1,189.98 and 513.04 is: 708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.12 : 1,189.98 = 513.04 : x
  2. Step 2: Convert to fraction form
    862.12/1,189.98 = 513.04/x
  3. Step 3: Cross multiply
    862.12x = 1,189.98 × 513.04
  4. Step 4: Simplify right side
    862.12x = 610,507.34
  5. Step 5: Solve for x
    x = 610,507.34/862.12
  6. Step 6: Final answer
    x = 708.15

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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.