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Finding the Fourth Proportional to 733.89, 1,012.39 and 438.65

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Solution

The fourth proportional to 733.89, 1,012.39 and 438.65 is: 605.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.89 : 1,012.39 = 438.65 : x
  2. Step 2: Convert to fraction form
    733.89/1,012.39 = 438.65/x
  3. Step 3: Cross multiply
    733.89x = 1,012.39 × 438.65
  4. Step 4: Simplify right side
    733.89x = 444,084.87
  5. Step 5: Solve for x
    x = 444,084.87/733.89
  6. Step 6: Final answer
    x = 605.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.