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Finding the Fourth Proportional to 733.41, 1,012.03 and 418.74

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Solution

The fourth proportional to 733.41, 1,012.03 and 418.74 is: 577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.41 : 1,012.03 = 418.74 : x
  2. Step 2: Convert to fraction form
    733.41/1,012.03 = 418.74/x
  3. Step 3: Cross multiply
    733.41x = 1,012.03 × 418.74
  4. Step 4: Simplify right side
    733.41x = 423,777.44
  5. Step 5: Solve for x
    x = 423,777.44/733.41
  6. Step 6: Final answer
    x = 577.82

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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.