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Finding the Fourth Proportional to 733.08, 1,097.72 and 459.38

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Solution

The fourth proportional to 733.08, 1,097.72 and 459.38 is: 687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.08 : 1,097.72 = 459.38 : x
  2. Step 2: Convert to fraction form
    733.08/1,097.72 = 459.38/x
  3. Step 3: Cross multiply
    733.08x = 1,097.72 × 459.38
  4. Step 4: Simplify right side
    733.08x = 504,262.83
  5. Step 5: Solve for x
    x = 504,262.83/733.08
  6. Step 6: Final answer
    x = 687.87

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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.