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Finding the Fourth Proportional to 1,489.72, 2,234.61 and 709.81

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Solution

The fourth proportional to 1,489.72, 2,234.61 and 709.81 is: 1,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.72 : 2,234.61 = 709.81 : x
  2. Step 2: Convert to fraction form
    1,489.72/2,234.61 = 709.81/x
  3. Step 3: Cross multiply
    1,489.72x = 2,234.61 × 709.81
  4. Step 4: Simplify right side
    1,489.72x = 1,586,148.52
  5. Step 5: Solve for x
    x = 1,586,148.52/1,489.72
  6. Step 6: Final answer
    x = 1,064.73

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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.