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Finding the Fourth Proportional to 1,086.03, 1,628.64 and 392.53

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Solution

The fourth proportional to 1,086.03, 1,628.64 and 392.53 is: 588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.03 : 1,628.64 = 392.53 : x
  2. Step 2: Convert to fraction form
    1,086.03/1,628.64 = 392.53/x
  3. Step 3: Cross multiply
    1,086.03x = 1,628.64 × 392.53
  4. Step 4: Simplify right side
    1,086.03x = 639,290.06
  5. Step 5: Solve for x
    x = 639,290.06/1,086.03
  6. Step 6: Final answer
    x = 588.65

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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.