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Finding the Fourth Proportional to 1,790.70, 2,685.84 and 492.06

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Solution

The fourth proportional to 1,790.70, 2,685.84 and 492.06 is: 738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.70 : 2,685.84 = 492.06 : x
  2. Step 2: Convert to fraction form
    1,790.70/2,685.84 = 492.06/x
  3. Step 3: Cross multiply
    1,790.70x = 2,685.84 × 492.06
  4. Step 4: Simplify right side
    1,790.70x = 1,321,594.43
  5. Step 5: Solve for x
    x = 1,321,594.43/1,790.70
  6. Step 6: Final answer
    x = 738.03

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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.