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Finding the Fourth Proportional to 1,199.15, 1,798.24 and 459.04

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Solution

The fourth proportional to 1,199.15, 1,798.24 and 459.04 is: 688.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.15 : 1,798.24 = 459.04 : x
  2. Step 2: Convert to fraction form
    1,199.15/1,798.24 = 459.04/x
  3. Step 3: Cross multiply
    1,199.15x = 1,798.24 × 459.04
  4. Step 4: Simplify right side
    1,199.15x = 825,464.09
  5. Step 5: Solve for x
    x = 825,464.09/1,199.15
  6. Step 6: Final answer
    x = 688.37

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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.