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Finding the Fourth Proportional to 874.26, 1,206.52 and 579.02

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Solution

The fourth proportional to 874.26, 1,206.52 and 579.02 is: 799.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.26 : 1,206.52 = 579.02 : x
  2. Step 2: Convert to fraction form
    874.26/1,206.52 = 579.02/x
  3. Step 3: Cross multiply
    874.26x = 1,206.52 × 579.02
  4. Step 4: Simplify right side
    874.26x = 698,599.21
  5. Step 5: Solve for x
    x = 698,599.21/874.26
  6. Step 6: Final answer
    x = 799.07

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Why These Related Problems?

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