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Finding the Fourth Proportional to 874.02, 1,206.57 and 611.94

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Solution

The fourth proportional to 874.02, 1,206.57 and 611.94 is: 844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.02 : 1,206.57 = 611.94 : x
  2. Step 2: Convert to fraction form
    874.02/1,206.57 = 611.94/x
  3. Step 3: Cross multiply
    874.02x = 1,206.57 × 611.94
  4. Step 4: Simplify right side
    874.02x = 738,348.45
  5. Step 5: Solve for x
    x = 738,348.45/874.02
  6. Step 6: Final answer
    x = 844.77

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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.