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Finding the Fourth Proportional to 733.08, 1,011.67 and 418.29

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Solution

The fourth proportional to 733.08, 1,011.67 and 418.29 is: 577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.08 : 1,011.67 = 418.29 : x
  2. Step 2: Convert to fraction form
    733.08/1,011.67 = 418.29/x
  3. Step 3: Cross multiply
    733.08x = 1,011.67 × 418.29
  4. Step 4: Simplify right side
    733.08x = 423,171.44
  5. Step 5: Solve for x
    x = 423,171.44/733.08
  6. Step 6: Final answer
    x = 577.26

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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.