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Finding the Fourth Proportional to 1,318.68, 1,977.90 and 344.88

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Solution

The fourth proportional to 1,318.68, 1,977.90 and 344.88 is: 517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.68 : 1,977.90 = 344.88 : x
  2. Step 2: Convert to fraction form
    1,318.68/1,977.90 = 344.88/x
  3. Step 3: Cross multiply
    1,318.68x = 1,977.90 × 344.88
  4. Step 4: Simplify right side
    1,318.68x = 682,138.15
  5. Step 5: Solve for x
    x = 682,138.15/1,318.68
  6. Step 6: Final answer
    x = 517.29

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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.