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Finding the Fourth Proportional to 1,489.73, 2,232.74 and 514.69

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Solution

The fourth proportional to 1,489.73, 2,232.74 and 514.69 is: 771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.73 : 2,232.74 = 514.69 : x
  2. Step 2: Convert to fraction form
    1,489.73/2,232.74 = 514.69/x
  3. Step 3: Cross multiply
    1,489.73x = 2,232.74 × 514.69
  4. Step 4: Simplify right side
    1,489.73x = 1,149,164.66
  5. Step 5: Solve for x
    x = 1,149,164.66/1,489.73
  6. Step 6: Final answer
    x = 771.39

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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.