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Finding the Fourth Proportional to 733.91, 1,011.34 and 523.72

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Solution

The fourth proportional to 733.91, 1,011.34 and 523.72 is: 721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.91 : 1,011.34 = 523.72 : x
  2. Step 2: Convert to fraction form
    733.91/1,011.34 = 523.72/x
  3. Step 3: Cross multiply
    733.91x = 1,011.34 × 523.72
  4. Step 4: Simplify right side
    733.91x = 529,652.27
  5. Step 5: Solve for x
    x = 529,652.27/733.91
  6. Step 6: Final answer
    x = 721.68

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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.