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Finding the Fourth Proportional to 1,086.92, 1,631 and 471.24

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Solution

The fourth proportional to 1,086.92, 1,631 and 471.24 is: 707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.92 : 1,631 = 471.24 : x
  2. Step 2: Convert to fraction form
    1,086.92/1,631 = 471.24/x
  3. Step 3: Cross multiply
    1,086.92x = 1,631 × 471.24
  4. Step 4: Simplify right side
    1,086.92x = 768,592.44
  5. Step 5: Solve for x
    x = 768,592.44/1,086.92
  6. Step 6: Final answer
    x = 707.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.