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Finding the Fourth Proportional to 874.57, 1,206.75 and 580.24

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Solution

The fourth proportional to 874.57, 1,206.75 and 580.24 is: 800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.57 : 1,206.75 = 580.24 : x
  2. Step 2: Convert to fraction form
    874.57/1,206.75 = 580.24/x
  3. Step 3: Cross multiply
    874.57x = 1,206.75 × 580.24
  4. Step 4: Simplify right side
    874.57x = 700,204.62
  5. Step 5: Solve for x
    x = 700,204.62/874.57
  6. Step 6: Final answer
    x = 800.63

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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.