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Finding the Fourth Proportional to 862, 1,189.64 and 494

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Solution

The fourth proportional to 862, 1,189.64 and 494 is: 681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    862 : 1,189.64 = 494 : x
  2. Step 2: Convert to fraction form
    862/1,189.64 = 494/x
  3. Step 3: Cross multiply
    862x = 1,189.64 × 494
  4. Step 4: Simplify right side
    862x = 587,682.16
  5. Step 5: Solve for x
    x = 587,682.16/862
  6. Step 6: Final answer
    x = 681.77

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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.