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Finding the Fourth Proportional to 733.88, 1,012.25 and 453.83

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Solution

The fourth proportional to 733.88, 1,012.25 and 453.83 is: 625.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.88 : 1,012.25 = 453.83 : x
  2. Step 2: Convert to fraction form
    733.88/1,012.25 = 453.83/x
  3. Step 3: Cross multiply
    733.88x = 1,012.25 × 453.83
  4. Step 4: Simplify right side
    733.88x = 459,385.49
  5. Step 5: Solve for x
    x = 459,385.49/733.88
  6. Step 6: Final answer
    x = 625.97

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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.