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Finding the Fourth Proportional to 874.11, 1,206.59 and 579.48

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Solution

The fourth proportional to 874.11, 1,206.59 and 579.48 is: 799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.11 : 1,206.59 = 579.48 : x
  2. Step 2: Convert to fraction form
    874.11/1,206.59 = 579.48/x
  3. Step 3: Cross multiply
    874.11x = 1,206.59 × 579.48
  4. Step 4: Simplify right side
    874.11x = 699,194.77
  5. Step 5: Solve for x
    x = 699,194.77/874.11
  6. Step 6: Final answer
    x = 799.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.