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Finding the Fourth Proportional to 733.56, 1,012.26 and 418.74

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Solution

The fourth proportional to 733.56, 1,012.26 and 418.74 is: 577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.56 : 1,012.26 = 418.74 : x
  2. Step 2: Convert to fraction form
    733.56/1,012.26 = 418.74/x
  3. Step 3: Cross multiply
    733.56x = 1,012.26 × 418.74
  4. Step 4: Simplify right side
    733.56x = 423,873.75
  5. Step 5: Solve for x
    x = 423,873.75/733.56
  6. Step 6: Final answer
    x = 577.83

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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.