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Finding the Fourth Proportional to 733.24, 1,011.78 and 418.54

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Solution

The fourth proportional to 733.24, 1,011.78 and 418.54 is: 577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.24 : 1,011.78 = 418.54 : x
  2. Step 2: Convert to fraction form
    733.24/1,011.78 = 418.54/x
  3. Step 3: Cross multiply
    733.24x = 1,011.78 × 418.54
  4. Step 4: Simplify right side
    733.24x = 423,470.40
  5. Step 5: Solve for x
    x = 423,470.40/733.24
  6. Step 6: Final answer
    x = 577.53

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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.