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Finding the Fourth Proportional to 1,289.87, 1,933.49 and 509.56

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Solution

The fourth proportional to 1,289.87, 1,933.49 and 509.56 is: 763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.87 : 1,933.49 = 509.56 : x
  2. Step 2: Convert to fraction form
    1,289.87/1,933.49 = 509.56/x
  3. Step 3: Cross multiply
    1,289.87x = 1,933.49 × 509.56
  4. Step 4: Simplify right side
    1,289.87x = 985,229.16
  5. Step 5: Solve for x
    x = 985,229.16/1,289.87
  6. Step 6: Final answer
    x = 763.82

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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.