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Finding the Fourth Proportional to 733.50, 1,098.69 and 459.27

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Solution

The fourth proportional to 733.50, 1,098.69 and 459.27 is: 687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.50 : 1,098.69 = 459.27 : x
  2. Step 2: Convert to fraction form
    733.50/1,098.69 = 459.27/x
  3. Step 3: Cross multiply
    733.50x = 1,098.69 × 459.27
  4. Step 4: Simplify right side
    733.50x = 504,595.36
  5. Step 5: Solve for x
    x = 504,595.36/733.50
  6. Step 6: Final answer
    x = 687.93

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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.