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Finding the Fourth Proportional to 734.10, 1,098.99 and 459.33

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Solution

The fourth proportional to 734.10, 1,098.99 and 459.33 is: 687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.10 : 1,098.99 = 459.33 : x
  2. Step 2: Convert to fraction form
    734.10/1,098.99 = 459.33/x
  3. Step 3: Cross multiply
    734.10x = 1,098.99 × 459.33
  4. Step 4: Simplify right side
    734.10x = 504,799.08
  5. Step 5: Solve for x
    x = 504,799.08/734.10
  6. Step 6: Final answer
    x = 687.64

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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.