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Finding the Fourth Proportional to 733.23, 1,098.87 and 458.67

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Solution

The fourth proportional to 733.23, 1,098.87 and 458.67 is: 687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.23 : 1,098.87 = 458.67 : x
  2. Step 2: Convert to fraction form
    733.23/1,098.87 = 458.67/x
  3. Step 3: Cross multiply
    733.23x = 1,098.87 × 458.67
  4. Step 4: Simplify right side
    733.23x = 504,010.92
  5. Step 5: Solve for x
    x = 504,010.92/733.23
  6. Step 6: Final answer
    x = 687.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.