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Finding the Fourth Proportional to 1,086.32, 1,625.80 and 738.80

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Solution

The fourth proportional to 1,086.32, 1,625.80 and 738.80 is: 1,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.32 : 1,625.80 = 738.80 : x
  2. Step 2: Convert to fraction form
    1,086.32/1,625.80 = 738.80/x
  3. Step 3: Cross multiply
    1,086.32x = 1,625.80 × 738.80
  4. Step 4: Simplify right side
    1,086.32x = 1,201,141.04
  5. Step 5: Solve for x
    x = 1,201,141.04/1,086.32
  6. Step 6: Final answer
    x = 1,105.70

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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.