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Finding the Fourth Proportional to 1,086.05, 1,627.79 and 392.35

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Solution

The fourth proportional to 1,086.05, 1,627.79 and 392.35 is: 588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.05 : 1,627.79 = 392.35 : x
  2. Step 2: Convert to fraction form
    1,086.05/1,627.79 = 392.35/x
  3. Step 3: Cross multiply
    1,086.05x = 1,627.79 × 392.35
  4. Step 4: Simplify right side
    1,086.05x = 638,657.38
  5. Step 5: Solve for x
    x = 638,657.38/1,086.05
  6. Step 6: Final answer
    x = 588.06

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