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Finding the Fourth Proportional to 1,306.94, 1,958.61 and 484.41

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Solution

The fourth proportional to 1,306.94, 1,958.61 and 484.41 is: 725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.94 : 1,958.61 = 484.41 : x
  2. Step 2: Convert to fraction form
    1,306.94/1,958.61 = 484.41/x
  3. Step 3: Cross multiply
    1,306.94x = 1,958.61 × 484.41
  4. Step 4: Simplify right side
    1,306.94x = 948,779.43
  5. Step 5: Solve for x
    x = 948,779.43/1,306.94
  6. Step 6: Final answer
    x = 725.96

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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.