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Finding the Fourth Proportional to 1,374.05, 2,060.67 and 724.43

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Solution

The fourth proportional to 1,374.05, 2,060.67 and 724.43 is: 1,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.05 : 2,060.67 = 724.43 : x
  2. Step 2: Convert to fraction form
    1,374.05/2,060.67 = 724.43/x
  3. Step 3: Cross multiply
    1,374.05x = 2,060.67 × 724.43
  4. Step 4: Simplify right side
    1,374.05x = 1,492,811.17
  5. Step 5: Solve for x
    x = 1,492,811.17/1,374.05
  6. Step 6: Final answer
    x = 1,086.43

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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.