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Finding the Fourth Proportional to 1,086.92, 1,629.17 and 471.14

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Solution

The fourth proportional to 1,086.92, 1,629.17 and 471.14 is: 706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.92 : 1,629.17 = 471.14 : x
  2. Step 2: Convert to fraction form
    1,086.92/1,629.17 = 471.14/x
  3. Step 3: Cross multiply
    1,086.92x = 1,629.17 × 471.14
  4. Step 4: Simplify right side
    1,086.92x = 767,564.80
  5. Step 5: Solve for x
    x = 767,564.80/1,086.92
  6. Step 6: Final answer
    x = 706.18

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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.