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Finding the Fourth Proportional to 733.28, 1,012.13 and 418.71

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Solution

The fourth proportional to 733.28, 1,012.13 and 418.71 is: 577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.28 : 1,012.13 = 418.71 : x
  2. Step 2: Convert to fraction form
    733.28/1,012.13 = 418.71/x
  3. Step 3: Cross multiply
    733.28x = 1,012.13 × 418.71
  4. Step 4: Simplify right side
    733.28x = 423,790.00
  5. Step 5: Solve for x
    x = 423,790.00/733.28
  6. Step 6: Final answer
    x = 577.94

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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.