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Finding the Fourth Proportional to 733.49, 1,012.17 and 401.92

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Solution

The fourth proportional to 733.49, 1,012.17 and 401.92 is: 554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.49 : 1,012.17 = 401.92 : x
  2. Step 2: Convert to fraction form
    733.49/1,012.17 = 401.92/x
  3. Step 3: Cross multiply
    733.49x = 1,012.17 × 401.92
  4. Step 4: Simplify right side
    733.49x = 406,811.37
  5. Step 5: Solve for x
    x = 406,811.37/733.49
  6. Step 6: Final answer
    x = 554.62

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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.