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Finding the Fourth Proportional to 733.48, 1,012.18 and 438.69

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Solution

The fourth proportional to 733.48, 1,012.18 and 438.69 is: 605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.48 : 1,012.18 = 438.69 : x
  2. Step 2: Convert to fraction form
    733.48/1,012.18 = 438.69/x
  3. Step 3: Cross multiply
    733.48x = 1,012.18 × 438.69
  4. Step 4: Simplify right side
    733.48x = 444,033.24
  5. Step 5: Solve for x
    x = 444,033.24/733.48
  6. Step 6: Final answer
    x = 605.38

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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.