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Finding the Fourth Proportional to 1,289.29, 1,934.09 and 423.61

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Solution

The fourth proportional to 1,289.29, 1,934.09 and 423.61 is: 635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.29 : 1,934.09 = 423.61 : x
  2. Step 2: Convert to fraction form
    1,289.29/1,934.09 = 423.61/x
  3. Step 3: Cross multiply
    1,289.29x = 1,934.09 × 423.61
  4. Step 4: Simplify right side
    1,289.29x = 819,299.86
  5. Step 5: Solve for x
    x = 819,299.86/1,289.29
  6. Step 6: Final answer
    x = 635.47

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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.