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Finding the Fourth Proportional to 1,086.01, 1,629.25 and 392.51

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Solution

The fourth proportional to 1,086.01, 1,629.25 and 392.51 is: 588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.01 : 1,629.25 = 392.51 : x
  2. Step 2: Convert to fraction form
    1,086.01/1,629.25 = 392.51/x
  3. Step 3: Cross multiply
    1,086.01x = 1,629.25 × 392.51
  4. Step 4: Simplify right side
    1,086.01x = 639,500.01
  5. Step 5: Solve for x
    x = 639,500.01/1,086.01
  6. Step 6: Final answer
    x = 588.85

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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.