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Finding the Fourth Proportional to 1,086.04, 1,628.62 and 392.46

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Solution

The fourth proportional to 1,086.04, 1,628.62 and 392.46 is: 588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.04 : 1,628.62 = 392.46 : x
  2. Step 2: Convert to fraction form
    1,086.04/1,628.62 = 392.46/x
  3. Step 3: Cross multiply
    1,086.04x = 1,628.62 × 392.46
  4. Step 4: Simplify right side
    1,086.04x = 639,167.22
  5. Step 5: Solve for x
    x = 639,167.22/1,086.04
  6. Step 6: Final answer
    x = 588.53

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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.