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Finding the Fourth Proportional to 1,489.48, 2,233.70 and 611.73

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Solution

The fourth proportional to 1,489.48, 2,233.70 and 611.73 is: 917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.48 : 2,233.70 = 611.73 : x
  2. Step 2: Convert to fraction form
    1,489.48/2,233.70 = 611.73/x
  3. Step 3: Cross multiply
    1,489.48x = 2,233.70 × 611.73
  4. Step 4: Simplify right side
    1,489.48x = 1,366,421.68
  5. Step 5: Solve for x
    x = 1,366,421.68/1,489.48
  6. Step 6: Final answer
    x = 917.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.