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Finding the Fourth Proportional to 617.08, 846.71 and 611.27

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Solution

The fourth proportional to 617.08, 846.71 and 611.27 is: 838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.08 : 846.71 = 611.27 : x
  2. Step 2: Convert to fraction form
    617.08/846.71 = 611.27/x
  3. Step 3: Cross multiply
    617.08x = 846.71 × 611.27
  4. Step 4: Simplify right side
    617.08x = 517,571.36
  5. Step 5: Solve for x
    x = 517,571.36/617.08
  6. Step 6: Final answer
    x = 838.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.