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Finding the Fourth Proportional to 874.43, 1,206.69 and 580.25

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Solution

The fourth proportional to 874.43, 1,206.69 and 580.25 is: 800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.43 : 1,206.69 = 580.25 : x
  2. Step 2: Convert to fraction form
    874.43/1,206.69 = 580.25/x
  3. Step 3: Cross multiply
    874.43x = 1,206.69 × 580.25
  4. Step 4: Simplify right side
    874.43x = 700,175.84
  5. Step 5: Solve for x
    x = 700,175.84/874.43
  6. Step 6: Final answer
    x = 800.73

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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.