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Finding the Fourth Proportional to 862.13, 1,189.94 and 513.02

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Solution

The fourth proportional to 862.13, 1,189.94 and 513.02 is: 708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.13 : 1,189.94 = 513.02 : x
  2. Step 2: Convert to fraction form
    862.13/1,189.94 = 513.02/x
  3. Step 3: Cross multiply
    862.13x = 1,189.94 × 513.02
  4. Step 4: Simplify right side
    862.13x = 610,463.02
  5. Step 5: Solve for x
    x = 610,463.02/862.13
  6. Step 6: Final answer
    x = 708.09

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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.