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Finding the Fourth Proportional to 733.88, 1,098.66 and 459.08

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Solution

The fourth proportional to 733.88, 1,098.66 and 459.08 is: 687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.88 : 1,098.66 = 459.08 : x
  2. Step 2: Convert to fraction form
    733.88/1,098.66 = 459.08/x
  3. Step 3: Cross multiply
    733.88x = 1,098.66 × 459.08
  4. Step 4: Simplify right side
    733.88x = 504,372.83
  5. Step 5: Solve for x
    x = 504,372.83/733.88
  6. Step 6: Final answer
    x = 687.27

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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.