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Finding the Fourth Proportional to 733.50, 1,012.17 and 438.57

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Solution

The fourth proportional to 733.50, 1,012.17 and 438.57 is: 605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.50 : 1,012.17 = 438.57 : x
  2. Step 2: Convert to fraction form
    733.50/1,012.17 = 438.57/x
  3. Step 3: Cross multiply
    733.50x = 1,012.17 × 438.57
  4. Step 4: Simplify right side
    733.50x = 443,907.40
  5. Step 5: Solve for x
    x = 443,907.40/733.50
  6. Step 6: Final answer
    x = 605.19

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Why These Related Problems?

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