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Finding the Fourth Proportional to 874.07, 1,206.53 and 579.42

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Solution

The fourth proportional to 874.07, 1,206.53 and 579.42 is: 799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.07 : 1,206.53 = 579.42 : x
  2. Step 2: Convert to fraction form
    874.07/1,206.53 = 579.42/x
  3. Step 3: Cross multiply
    874.07x = 1,206.53 × 579.42
  4. Step 4: Simplify right side
    874.07x = 699,084.72
  5. Step 5: Solve for x
    x = 699,084.72/874.07
  6. Step 6: Final answer
    x = 799.81

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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.