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Finding the Fourth Proportional to 733.05, 1,011.57 and 418.33

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Solution

The fourth proportional to 733.05, 1,011.57 and 418.33 is: 577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.05 : 1,011.57 = 418.33 : x
  2. Step 2: Convert to fraction form
    733.05/1,011.57 = 418.33/x
  3. Step 3: Cross multiply
    733.05x = 1,011.57 × 418.33
  4. Step 4: Simplify right side
    733.05x = 423,170.08
  5. Step 5: Solve for x
    x = 423,170.08/733.05
  6. Step 6: Final answer
    x = 577.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.