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Finding the Fourth Proportional to 1,360.06, 2,039.40 and 422.84

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Solution

The fourth proportional to 1,360.06, 2,039.40 and 422.84 is: 634.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.06 : 2,039.40 = 422.84 : x
  2. Step 2: Convert to fraction form
    1,360.06/2,039.40 = 422.84/x
  3. Step 3: Cross multiply
    1,360.06x = 2,039.40 × 422.84
  4. Step 4: Simplify right side
    1,360.06x = 862,344.99
  5. Step 5: Solve for x
    x = 862,344.99/1,360.06
  6. Step 6: Final answer
    x = 634.05

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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.