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Finding the Fourth Proportional to 733.60, 1,011.31 and 523.67

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Solution

The fourth proportional to 733.60, 1,011.31 and 523.67 is: 721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.60 : 1,011.31 = 523.67 : x
  2. Step 2: Convert to fraction form
    733.60/1,011.31 = 523.67/x
  3. Step 3: Cross multiply
    733.60x = 1,011.31 × 523.67
  4. Step 4: Simplify right side
    733.60x = 529,593.93
  5. Step 5: Solve for x
    x = 529,593.93/733.60
  6. Step 6: Final answer
    x = 721.91

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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.