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Finding the Fourth Proportional to 1,289.83, 1,934.85 and 509.78

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Solution

The fourth proportional to 1,289.83, 1,934.85 and 509.78 is: 764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.83 : 1,934.85 = 509.78 : x
  2. Step 2: Convert to fraction form
    1,289.83/1,934.85 = 509.78/x
  3. Step 3: Cross multiply
    1,289.83x = 1,934.85 × 509.78
  4. Step 4: Simplify right side
    1,289.83x = 986,347.83
  5. Step 5: Solve for x
    x = 986,347.83/1,289.83
  6. Step 6: Final answer
    x = 764.71

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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.