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Finding the Fourth Proportional to 1,028.94, 1,543.08 and 798.09

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Solution

The fourth proportional to 1,028.94, 1,543.08 and 798.09 is: 1,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.94 : 1,543.08 = 798.09 : x
  2. Step 2: Convert to fraction form
    1,028.94/1,543.08 = 798.09/x
  3. Step 3: Cross multiply
    1,028.94x = 1,543.08 × 798.09
  4. Step 4: Simplify right side
    1,028.94x = 1,231,516.72
  5. Step 5: Solve for x
    x = 1,231,516.72/1,028.94
  6. Step 6: Final answer
    x = 1,196.88

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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.