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Finding the Fourth Proportional to 1,338, 2,008.68 and 790.56

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Solution

The fourth proportional to 1,338, 2,008.68 and 790.56 is: 1,186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338 : 2,008.68 = 790.56 : x
  2. Step 2: Convert to fraction form
    1,338/2,008.68 = 790.56/x
  3. Step 3: Cross multiply
    1,338x = 2,008.68 × 790.56
  4. Step 4: Simplify right side
    1,338x = 1,587,982.06
  5. Step 5: Solve for x
    x = 1,587,982.06/1,338
  6. Step 6: Final answer
    x = 1,186.83

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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.